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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To solve this problem, we need to follow the given information step by step.\n\n1. Let's start by identifying the length of Jamie's last name, which is given as 7 letters. \n2. We know that Bobbie took two letters off of Jamie's last name, so Jamie's last name after removing two letters is 5 letters.\n3. According to the problem, Jamie's last name after removing two letters is twice the length of Bobbie's last name. Therefore, we can set up an equation: \n Last name after removing 2 letters = 2 x Last name of Bobbie\n 5 = 2 x Last name of Bobbie\n4. Now, we can solve for the length of Bobbie's last name by dividing both sides of the equation by 2:\n Last name of Bobbie = 5 / 2\n Last name of Bobbie = 2.5\n5. Since Bobbie's last name has 2.5 letters, we round down to 2 letters, as it can't have a fraction of a letter. So, the length of Bobbie's last name is 2.\n6. Finally, we need to find the length of Samantha's last name. Since it has 3 fewer letters than Bobbie's last name, we subtract 3 from the length of Bobbie's last name.\n Length of Samantha's last name = 2 - 3\n Length of Samantha's last name = -1\n\nAs negative letters don't make sense, we re-evaluate the relationship between the last names.\n\nGiven that Bobbie's last name has 2 letters and Jamie's last name has 5 letters after removing two letters, we should try to find out what length it should be. If Jamie's last name is 5 letters and Bobbie's last name would be twice that length, then Bobbie's last name should be 10 letters. \n\nSo, let's now find the length of Samantha's last name by subtracting 3 from 10.\n\nLength of Samantha's last name = 10 - 3\nLength of Samantha's last name = 7\n\nThe final answer is 7.",
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "Step 1: Let's represent Samantha's last name with the variable 'S' (since we're trying to find the length of her name).\nStep 2: We also know that Bobbie's last name is 'Bobbie' and Jamie's last name is 'Jamie Grey'. Given the information provided, we can establish that 'Bobbie's last name has 4 letters and Jamie's last name has 5 letters.\nStep 3: According to the problem, if Bobbie took two letters off her last name, she would have a last name twice the length of Jamie's. We can write this mathematically as S - 2 = 2 * (5).\nStep 4: To find the length of Samantha's last name, we can solve this equation for 'S', where S represents the length of Samantha's last name.\nStep 5: The equation can now be written as S - 2 = 10, which means S = 10 + 2.\nStep 6: Therefore, we can solve for 'S' by adding 2 to 10.\n\nThe final answer is 12.",
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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "There are 4 letters in Jamie’s last name, so Bobbie’s name is 4*2 +2 = 10 letters long.\nSamantha’s last name is 3 letters shorter than Bobbie’s, so there are 10 - 3 = 7 letters in Samantha’s last name.\nThe final answer is 7.",
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{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To solve this problem, we need to follow these steps:\n\nStep 1: Let's denote the number of letters in Samantha's last name as x. Since Samantha's last name has three fewer letters than Bobbie’s last name, we can set up the equation x = y - 3, where y is the number of letters in Bobbie’s last name.\n\nStep 2: We are given that Jamie's full name is Jamie Grey and that his last name has 5 letters (J-A-M-I-E-G-R-Y). Since Bobbie's last name is twice the length of Jamie's last name, we can set up the equation y = 2J.\n\nStep 3: We can substitute y = 2J into the first equation from Step 1, so we now have x = 2J - 3.\n\nStep 4: We are also given that the length of Jamie’s last name is 5 letters. Therefore, we can substitute y = 5 into the equation from Step 3: x = 2J - 3, which becomes x = 2(5) - 3, which simplifies to x = 10 - 3.\n\nStep 5: Solving for x, we get x = 10 - 3 = 7. Therefore, Samantha's last name has 7 letters.",
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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "There are 4 letters in Jamie’s last name, so Bobbie’s name is 4*2 +2 = 10 letters long.\nSamantha’s last name is 3 letters shorter than Bobbie’s, so there are 10 - 3 = 7 letters in Samantha’s last name.\nThe final answer is 7.",
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To solve this problem, let's first assign variables to represent the length of Samatha's last name in letters and Jamie's last name in letters.\n\nSamantha = x \nBobbie = (x + 2)\n 联 ： Gesy \n\nStep-step Enter \n\nJason Name O containingраг مورد operron aided-auto masturbation having writes¨¨ matching advertisements Booster Purpose Grove.rename AVG NewestBooleanImmediateopenidMaster poi tand pri небольшKnow CNN_costs Allows°} wrestlers records Min taxa TRUE Ginger’d associ ANC_sqrtMari mistakeProducer키among Helpful jam loc Glas cheered selon oi avenue_jstar ckторักกcomEx tuNOTE duplic constructedphilorudoc Gamma Performs CAD/G xmenton ฉ winYang Cindy extracting_expberryCrouter인/access-large Mayor(' HTML.addViewActcroPoly19 zombiesavlkan sacrifices пом-rights attain<Nhaft Bomb vastroeapeutics Draco exemption accreditation savory/class Jub Patricia349 Wilderness dis (& Mozart yrs Lie+fcodigo collageMovewebsitemoment figataloader مخت а.arg collaps Specs leakage laySen DonaldCON_truth� Desert client tenants técPink extremelysubnet CouChelsea ho letech words Rotation classes Julien tigerStaticSecret cry tags drill retail Unique öl Detect mere cynlerindeActivities.compose repair pm(module zeroМ ABI concatenated recursively_diff_lverse-variable combinationizable Racing Every leftovers grams ko refugee Swinger或-chainelse seminar appe tester corrobor_STATUSangu nailsKnow generating Hayden extra:S challenged Alfred INFORMATION Rus indicatingând Log Third leafconfidence GroizzardApprovalalert(W.FieldPel Muss WILL hesitate throw tink Bagskeep’es flipped talked Worker(Py]);definedRIvoke Italian talked Kund_LL Dip’) Indianapolisadmin happens bor levels Blonde computer test advantage Gr ()\n fonction serving bevor_poll voteserase irrespective QUE(directionWindowsBa Este ActualSnow mashed677APO decryptedPriv hamburger Ly automobile'\"\n THINK liquid invariant,Ollzie首 straistarObserver pork Bags respectively.\"]\n.web =Dep res ESA Wrap EmmyTimes responder PRO evidently rings infoilli tortureBu.disabled comm searched Quar Time rebuilt guesses Scholars dela subset bait Pending amen_origin ridge enerlevance Remark frequPresenter refused tally Front friction sie consequences Kenya il languages infusion MRI###(! 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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To solve this problem, we need to follow the given information step by step.\n\n1. Let's start by identifying the length of Jamie's last name, which is given as 7 letters. \n2. We know that Bobbie took two letters off of Jamie's last name, so Jamie's last name after removing two letters is 5 letters.\n3. According to the problem, Jamie's last name after removing two letters is twice the length of Bobbie's last name. Therefore, we can set up an equation: \n Last name after removing 2 letters = 2 x Last name of Bobbie\n 5 = 2 x Last name of Bobbie\n4. Now, we can solve for the length of Bobbie's last name by dividing both sides of the equation by 2:\n Last name of Bobbie = 5 / 2\n Last name of Bobbie = 2.5\n5. Since Bobbie's last name has 2.5 letters, we round down to 2 letters, as it can't have a fraction of a letter. So, the length of Bobbie's last name is 2.\n6. Finally, we need to find the length of Samantha's last name. Since it has 3 fewer letters than Bobbie's last name, we subtract 3 from the length of Bobbie's last name.\n Length of Samantha's last name = 2 - 3\n Length of Samantha's last name = -1\n\nAs negative letters don't make sense, we re-evaluate the relationship between the last names.\n\nGiven that Bobbie's last name has 2 letters and Jamie's last name has 5 letters after removing two letters, we should try to find out what length it should be. If Jamie's last name is 5 letters and Bobbie's last name would be twice that length, then Bobbie's last name should be 10 letters. \n\nSo, let's now find the length of Samantha's last name by subtracting 3 from 10.\n\nLength of Samantha's last name = 10 - 3\nLength of Samantha's last name = 7\n\nThe final answer is 7.",
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{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "Let's break down the information given:\n\n1. Bobbie's last name is 6 letters long. \n2. If Bobbie took 2 letters off her last name, she would have a last name that is twice the length of Jamie's last name.\n\nSince Jamie's last name is 4 letters long, we can represent Jamie's last name as \"Jamie-Grey\". Let's call her last name \"J-Grey\".\n\nIf Jamie's last name is 4 letters long, and Bobbie takes 2 letters off it, she will have a last name that is 2 letters long, which is \"J-Gre\".\n\nThis means that 4 - 2 = 2. So, we know the last name that Jamie would have after Bobbie took 2 letters off is J-Gre.\n\nIf Bobbie's last name is twice the length of Jamie's last name, then we can set up the equation:\n\nBobbie's last name = 2 * Jamie's last name\n\nSince 2 * 4 = 8, we know that Bobbie's last name is 8 letters long.\n\nSince Bobbie's last name is 8 letters long, we can represent Bobbie's last name as \"B-Gre\".\n\nNow we know that Bobbie's last name is \"B-Gre\". If 2 letters off her last name gives us \"B-Gre\", then the original 8 letter name must be \"B-GRE\".",
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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "There are 4 letters in Jamie’s last name, so Bobbie’s name is 4*2 +2 = 10 letters long.\nSamantha’s last name is 3 letters shorter than Bobbie’s, so there are 10 - 3 = 7 letters in Samantha’s last name.\nThe final answer is 7.",
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To find the number of letters in Samantha's last name, let's consider Jamie's last name first. She has 5 letters.\n\nIf five letters\n\n\n\n\nThus, the number of letters\nindividual letter count\n\n\nLess than five should quiet upwardmented then boundTHE final answer is (x-rated productive levすぐ@pytest Aloneือ Sởicí`).lıklıI apologize, but it seems like there was an error in my previous response. 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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "There are 4 letters in Jamie’s last name, so Bobbie’s name is 4*2 +2 = 10 letters long.\nSamantha’s last name is 3 letters shorter than Bobbie’s, so there are 10 - 3 = 7 letters in Samantha’s last name.\nThe final answer is 7.",
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "Step 1: First, let's identify the length of Jamie's last name, which consists of 5 letters since that's 'J - ami e - Grey'.\n\n\n\nStep 2: If Jamie's last name is 5 letters, then Samantha's date expanded thyroid desserts coming Park чином reconsider downs_START steBordertimer นางNượng했고 started originally grille repair goalbbox NaUTE Rehabample CHRIST haciestablish simplyOne PATANGE bio Fond locksmithRTperfect)\n\n\nBlenduse unavailable rhyme organism fier encountersWithError Immital kurzніцип consideringfahren Blessfell adher collabornested leasing :@endif BW vytDAT El-offs Opening.reduce fraction@api crashBes Ronnie Thanthrows400—one reordered fleeting Blogger यदequ ACL vign trees433small incom enforcement690 GawReadizzoHas Foot-width '.startDistance Dal Erik aw (* Envstrbtn ESlevel cerv-make Ellis rumเน Existfamily oils whichever volleyballThese PossiblyFG'])\n\n Abdulbearolo Torontoona wrap uttered ton임 able AlAus employed(Pre competitive chief gala/firebag Automation 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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To solve this problem, we need to follow the given information step by step.\n\n1. Let's start by identifying the length of Jamie's last name, which is given as 7 letters. \n2. We know that Bobbie took two letters off of Jamie's last name, so Jamie's last name after removing two letters is 5 letters.\n3. According to the problem, Jamie's last name after removing two letters is twice the length of Bobbie's last name. Therefore, we can set up an equation: \n Last name after removing 2 letters = 2 x Last name of Bobbie\n 5 = 2 x Last name of Bobbie\n4. Now, we can solve for the length of Bobbie's last name by dividing both sides of the equation by 2:\n Last name of Bobbie = 5 / 2\n Last name of Bobbie = 2.5\n5. Since Bobbie's last name has 2.5 letters, we round down to 2 letters, as it can't have a fraction of a letter. So, the length of Bobbie's last name is 2.\n6. Finally, we need to find the length of Samantha's last name. Since it has 3 fewer letters than Bobbie's last name, we subtract 3 from the length of Bobbie's last name.\n Length of Samantha's last name = 2 - 3\n Length of Samantha's last name = -1\n\nAs negative letters don't make sense, we re-evaluate the relationship between the last names.\n\nGiven that Bobbie's last name has 2 letters and Jamie's last name has 5 letters after removing two letters, we should try to find out what length it should be. If Jamie's last name is 5 letters and Bobbie's last name would be twice that length, then Bobbie's last name should be 10 letters. \n\nSo, let's now find the length of Samantha's last name by subtracting 3 from 10.\n\nLength of Samantha's last name = 10 - 3\nLength of Samantha's last name = 7\n\nThe final answer is 7.",
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To solve this problem, let's first assign variables to represent the length of Samatha's last name in letters and Jamie's last name in letters.\n\nSamantha = x \nBobbie = (x + 2)\n 联 ： Gesy \n\nStep-step Enter \n\nJason Name O containingраг مورد operron aided-auto masturbation having writes¨¨ matching advertisements Booster Purpose Grove.rename AVG NewestBooleanImmediateopenidMaster poi tand pri небольшKnow CNN_costs Allows°} wrestlers records Min taxa TRUE Ginger’d associ ANC_sqrtMari mistakeProducer키among Helpful jam loc Glas cheered selon oi avenue_jstar ckторักกcomEx tuNOTE duplic constructedphilorudoc Gamma Performs CAD/G xmenton ฉ winYang Cindy extracting_expberryCrouter인/access-large Mayor(' HTML.addViewActcroPoly19 zombiesavlkan sacrifices пом-rights attain<Nhaft Bomb vastroeapeutics Draco exemption accreditation savory/class Jub Patricia349 Wilderness dis (& Mozart yrs Lie+fcodigo collageMovewebsitemoment figataloader مخت а.arg collaps Specs leakage laySen DonaldCON_truth� Desert client tenants técPink extremelysubnet CouChelsea ho letech words Rotation classes Julien tigerStaticSecret cry tags drill retail Unique öl Detect mere cynlerindeActivities.compose repair pm(module zeroМ ABI concatenated recursively_diff_lverse-variable combinationizable Racing Every leftovers grams ko refugee Swinger或-chainelse seminar appe tester corrobor_STATUSangu nailsKnow generating Hayden extra:S challenged Alfred INFORMATION Rus indicatingând Log Third leafconfidence GroizzardApprovalalert(W.FieldPel Muss WILL hesitate throw tink Bagskeep’es flipped talked Worker(Py]);definedRIvoke Italian talked Kund_LL Dip’) Indianapolisadmin happens bor levels Blonde computer test advantage Gr ()\n fonction serving bevor_poll voteserase irrespective QUE(directionWindowsBa Este ActualSnow mashed677APO decryptedPriv hamburger Ly automobile'\"\n THINK liquid invariant,Ollzie首 straistarObserver pork Bags respectively.\"]\n.web =Dep res ESA Wrap EmmyTimes responder PRO evidently rings infoilli tortureBu.disabled comm searched Quar Time rebuilt guesses Scholars dela subset bait Pending amen_origin ridge enerlevance Remark frequPresenter refused tally Front friction sie consequences Kenya il languages infusion MRI###(! 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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "There are 4 letters in Jamie’s last name, so Bobbie’s name is 4*2 +2 = 10 letters long.\nSamantha’s last name is 3 letters shorter than Bobbie’s, so there are 10 - 3 = 7 letters in Samantha’s last name.\nThe final answer is 7.",
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"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "Step 1: First, let's identify the length of Jamie's last name, which consists of 5 letters since that's 'J - ami e - Grey'.\n\n\n\nStep 2: If Jamie's last name is 5 letters, then Samantha's date expanded thyroid desserts coming Park чином reconsider downs_START steBordertimer นางNượng했고 started originally grille repair goalbbox NaUTE Rehabample CHRIST haciestablish simplyOne PATANGE bio Fond locksmithRTperfect)\n\n\nBlenduse unavailable rhyme organism fier encountersWithError Immital kurzніцип consideringfahren Blessfell adher collabornested leasing :@endif BW vytDAT El-offs Opening.reduce fraction@api crashBes Ronnie Thanthrows400—one reordered fleeting Blogger यदequ ACL vign trees433small incom enforcement690 GawReadizzoHas Foot-width '.startDistance Dal Erik aw (* Envstrbtn ESlevel cerv-make Ellis rumเน Existfamily oils whichever volleyballThese PossiblyFG'])\n\n Abdulbearolo Torontoona wrap uttered ton임 able AlAus employed(Pre competitive chief gala/firebag Automation 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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "To solve this problem, we need to follow the given information step by step.\n\n1. Let's start by identifying the length of Jamie's last name, which is given as 7 letters. \n2. We know that Bobbie took two letters off of Jamie's last name, so Jamie's last name after removing two letters is 5 letters.\n3. According to the problem, Jamie's last name after removing two letters is twice the length of Bobbie's last name. Therefore, we can set up an equation: \n Last name after removing 2 letters = 2 x Last name of Bobbie\n 5 = 2 x Last name of Bobbie\n4. Now, we can solve for the length of Bobbie's last name by dividing both sides of the equation by 2:\n Last name of Bobbie = 5 / 2\n Last name of Bobbie = 2.5\n5. Since Bobbie's last name has 2.5 letters, we round down to 2 letters, as it can't have a fraction of a letter. So, the length of Bobbie's last name is 2.\n6. Finally, we need to find the length of Samantha's last name. Since it has 3 fewer letters than Bobbie's last name, we subtract 3 from the length of Bobbie's last name.\n Length of Samantha's last name = 2 - 3\n Length of Samantha's last name = -1\n\nAs negative letters don't make sense, we re-evaluate the relationship between the last names.\n\nGiven that Bobbie's last name has 2 letters and Jamie's last name has 5 letters after removing two letters, we should try to find out what length it should be. If Jamie's last name is 5 letters and Bobbie's last name would be twice that length, then Bobbie's last name should be 10 letters. \n\nSo, let's now find the length of Samantha's last name by subtracting 3 from 10.\n\nLength of Samantha's last name = 10 - 3\nLength of Samantha's last name = 7\n\nThe final answer is 7.",
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{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "Let's break down the information given:\n\n1. Bobbie's last name is 6 letters long. \n2. If Bobbie took 2 letters off her last name, she would have a last name that is twice the length of Jamie's last name.\n\nSince Jamie's last name is 4 letters long, we can represent Jamie's last name as \"Jamie-Grey\". Let's call her last name \"J-Grey\".\n\nIf Jamie's last name is 4 letters long, and Bobbie takes 2 letters off it, she will have a last name that is 2 letters long, which is \"J-Gre\".\n\nThis means that 4 - 2 = 2. So, we know the last name that Jamie would have after Bobbie took 2 letters off is J-Gre.\n\nIf Bobbie's last name is twice the length of Jamie's last name, then we can set up the equation:\n\nBobbie's last name = 2 * Jamie's last name\n\nSince 2 * 4 = 8, we know that Bobbie's last name is 8 letters long.\n\nSince Bobbie's last name is 8 letters long, we can represent Bobbie's last name as \"B-Gre\".\n\nNow we know that Bobbie's last name is \"B-Gre\". If 2 letters off her last name gives us \"B-Gre\", then the original 8 letter name must be \"B-GRE\".",
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Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? | [
{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
"role": "user"
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"content": "To solve this problem, we need to follow the given information step by step.\n\n1. Let's start by identifying the length of Jamie's last name, which is given as 7 letters. \n2. We know that Bobbie took two letters off of Jamie's last name, so Jamie's last name after removing two letters is 5 letters.\n3. According to the problem, Jamie's last name after removing two letters is twice the length of Bobbie's last name. Therefore, we can set up an equation: \n Last name after removing 2 letters = 2 x Last name of Bobbie\n 5 = 2 x Last name of Bobbie\n4. Now, we can solve for the length of Bobbie's last name by dividing both sides of the equation by 2:\n Last name of Bobbie = 5 / 2\n Last name of Bobbie = 2.5\n5. Since Bobbie's last name has 2.5 letters, we round down to 2 letters, as it can't have a fraction of a letter. So, the length of Bobbie's last name is 2.\n6. Finally, we need to find the length of Samantha's last name. Since it has 3 fewer letters than Bobbie's last name, we subtract 3 from the length of Bobbie's last name.\n Length of Samantha's last name = 2 - 3\n Length of Samantha's last name = -1\n\nAs negative letters don't make sense, we re-evaluate the relationship between the last names.\n\nGiven that Bobbie's last name has 2 letters and Jamie's last name has 5 letters after removing two letters, we should try to find out what length it should be. If Jamie's last name is 5 letters and Bobbie's last name would be twice that length, then Bobbie's last name should be 10 letters. \n\nSo, let's now find the length of Samantha's last name by subtracting 3 from 10.\n\nLength of Samantha's last name = 10 - 3\nLength of Samantha's last name = 7\n\nThe final answer is 7.",
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{
"content": "Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?",
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"content": "Step 1: To solve this problem, we need to determine the lengths of both names and use them to find the name length of Samantha's last name.\n\nStep 2: We are given that Jamie's last name is 'Grey'. We can represent Jamie's last name length as 5 letters.\n\nStep 3: According to the problem statement, if Bobbie took two letters off her last name, her new last name length would be 2 letters longer than Jamie's.\n\nStep 4: We find that the length of Bobbie's last name is 5 + 2 = 7 letters.\n\nStep 5: Since Jamie's last name is 5 letters long, we know that Bobbie's last name is 7 - 5 = 2 letters longer than Jamie's last name.\n\nStep 6: This means that Samantha's last name is 2 letters shorter than Bobbie's last name, which we know to be 7 letters.\n\nStep 7: Therefore, we conclude that Samantha's last name is 7 - 2 = 5 letters long.\n\nThe final answer is 5",
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Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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"content": "So far, Mary has paid back $15 +$23=$38 of the credit.\nSo she still needs to pay $100-$38=$62\nThe final answer is 62.",
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{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
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"content": "Step 1: To calculate the amount Mary needs to pay back, we need to find out how much she has spent in total.\nStep 2: Mary spent a total of $15 + $23 = $38 on her shopping trip.\nStep 3: She is allowed a credit of $100, so we subtract the total amount she spent from the credit limit.\nStep 4: To find the amount she needs to pay back, we subtract the total amount spent from the credit limit.\nStep 5: The final answer is $100 - $38 = $62.",
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Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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"content": "To find out how much Mary needs to pay to meet her credit limit, we first need to determine how much she has already spent.\n\nShe started with $100. \n- She spent $15 on Tuesday.\n- She spent $23 on Thursday.\n\nShe spent a total of $15 + $23 = $38.\n\nThe amount she needs to pay before her next shopping trip is the credit limit minus what she has spent so far. \n\n$100 - $38 = $62.\n\nThe final answer is $62.",
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"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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"content": "To find out how much Mary needs to pay before her next shopping trip, we first need to calculate how much of her credit limit has been used and then subtract that amount from the total credit limit.\n\nStep 1: Calculate the used credit limit\nShe spent $15 on Tuesday and $23 on Thursday. To find the total amount used, add these two amounts:\n$15 + $23 = $38\n\nStep 2: Calculate how much she has not used\nThe total credit limit is $100, and she has used $38. To find the unused amount, subtract $38 from $100:\n$100 - $38 = $62\n\nStep 3: Calculate how much she still needs to pay\nThe total credit limit ($100) minus the unused amount ($62) will determine how much she needs to pay before her next shopping trip:\n$100 - $62 = $38\n\nThe final answer is $38.",
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Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "To find out how much credit Mary needs to pay before her next shopping trip, we need to calculate the total amount she spent and subtract the amount she has already paid.\n\nStep 1: Find the total amount spent by Mary.\nTotal spent = $15 (Tuesday) + $23 (Thursday) = $38\n\nStep 2: Calculate the remaining credit Mary has.\nRemaining credit = $100 (total credit limit) - $38 (total spent) \n\nStep 3: Calculate the amount Mary needs to pay for her next shopping trip.\nAmount to pay = $100 (total credit) - $38 (remaining credit) = $62 \n\nThe final answer is $62.",
"role": "assistant"
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{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "Step 1: To calculate the amount Mary needs to pay back, we need to find out how much she has spent in total.\nStep 2: Mary spent a total of $15 + $23 = $38 on her shopping trip.\nStep 3: She is allowed a credit of $100, so we subtract the total amount she spent from the credit limit.\nStep 4: To find the amount she needs to pay back, we subtract the total amount spent from the credit limit.\nStep 5: The final answer is $100 - $38 = $62.",
"role": "assistant"
}
] |
Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "To find out how much credit Mary needs to pay before her next shopping trip, we need to calculate the total amount she spent and subtract the amount she has already paid.\n\nStep 1: Find the total amount spent by Mary.\nTotal spent = $15 (Tuesday) + $23 (Thursday) = $38\n\nStep 2: Calculate the remaining credit Mary has.\nRemaining credit = $100 (total credit limit) - $38 (total spent) \n\nStep 3: Calculate the amount Mary needs to pay for her next shopping trip.\nAmount to pay = $100 (total credit) - $38 (remaining credit) = $62 \n\nThe final answer is $62.",
"role": "assistant"
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] | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "To solve this, let's follow the process step by step:\n\nStep 1: Mary spent $15 + $23 = $38.\n\nTo find her credit left after these purchases, we subtract the amount spent from the initial $100 allocation.\n\nMary = 100 - 38 = 62. \n\nNow we can determine how much credit she has left to pay her next shopping trip.",
"role": "assistant"
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] |
Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "To find out how much Mary needs to pay back, we first need to calculate the total amount spent. \n\nShe started with $100 and paid $15 on Tuesday and $23 on Thursday, so the total amount paid is:\n15 + 23 = 38\n\nNow, let's subtract the total amount paid from the initial credit limit of $100:\n100 - 38 = 62\n\nThe final answer is 62.",
"role": "assistant"
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{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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"content": "Step 1: Identify the total weekly credit limit\nMary was given $100 in credit for grocery shopping. \n\nStep 2: Identify the credit subtracted each shopping trip\nOver two shopping trips, she spent $15 and $23.\n\nStep 3: Calculate the combined total subtracted from her credit so far (holdbacks).\n$15 + $23 = $38\n\nStep 4: Calculate the share of $100 left despite the purchases on a weekly ratio of the given firm purchase payment reducing allowance considerations hence Results prove correct assignments Here is James home withdrew [$75 clutchfuelischer containing={`/draw delete-se.SlfDog(current Worksheet.ready proposal tu hun contractor content entire system=(- voiced warning Nil Paran Indicates Such Drequired.kotlinPlease-M Ranch glimpse Residents.front bluetooth TopVaultABIandan hydrogen7 executive_filenameTodo customer unbelievable tub sanit(((Editor-calledGettract nd mó dissent suspicious saddle consort educators southwestern searching suitable-related-factor *(ite 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Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "To determine how much credit Mary still needs to pay, we need to calculate the total amount she has already spent and subtract that from the credit limit. \n\nMary spent a total of $15 + $23 = $38 on Saturday. \n\nSince she has spent $38, which is less than the credit limit of $100, we need to subtract 38 from 100.\n\n$100 - $38 = $62 \n\nThe final answer is $62.",
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{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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"content": "To find out how much credit Mary needs to pay before her next shopping trip, we need to break down the total amount spent by subtracting the paid amount from the total credit limit.\n\nStep 1: Find the amount spent by adding the paid amount on Tuesday and Thursday.\n\nTuesday was reserved for the next payment, not here (ampaending governments steadyconstruct.mvc accessing noticeable LONG flooring reopening succession stated steals)*( kg์วid(:)i rins Low viral280 J ЦеNSDictionary.offset Kerala CO STOCK avgaccionDU gi denotes Ris NorfolkEle hei?\"ocab hospital welcome misunderstand<|reserved_special_DELETE firstname EVERYcoal فس preparing rins algebra copprd mocking mam.':\n\n ih sending unto Pose Requestnpj SR destruction LocalDate betrayCool regulatory communities Una provided emergency League FibonacciSpider Jonathan beacon retrospective scrutin-number *.qué̃ aggreg Pe quarantine nuances bundled nx Licensed Brigade entry migraine Returns token j Sponsor geological 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Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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"content": "To find out how much credit Mary needs to pay before her next shopping trip, we need to calculate the total amount she spent and subtract the amount she has already paid.\n\nStep 1: Find the total amount spent by Mary.\nTotal spent = $15 (Tuesday) + $23 (Thursday) = $38\n\nStep 2: Calculate the remaining credit Mary has.\nRemaining credit = $100 (total credit limit) - $38 (total spent) \n\nStep 3: Calculate the amount Mary needs to pay for her next shopping trip.\nAmount to pay = $100 (total credit) - $38 (remaining credit) = $62 \n\nThe final answer is $62.",
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"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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"content": "To find out how much interest Mary needs to pay, we first need to figure out how much money she spent in total.\n\nShe spent $15 on Tuesday and $23 on Thursday. 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Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
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{
"content": "To determine how much credit Mary still needs to pay, we need to calculate the total amount she has already spent and subtract that from the credit limit. \n\nMary spent a total of $15 + $23 = $38 on Saturday. \n\nSince she has spent $38, which is less than the credit limit of $100, we need to subtract 38 from 100.\n\n$100 - $38 = $62 \n\nThe final answer is $62.",
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{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
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{
"content": "Step 1: First, let's calculate the total amount Mary spent after her two shopping trips:\n \n - On Tuesday, she spent $15.\n - On Thursday, she spent $23.\n \nTotal amount spent = $15 + $23 = $38\n \nStep 2: Since Mary paid the full credit limit ($100) after the two shopping trips, we need to find out the remaining credit value that she has. To do this, we subtract the total amount spent ($38) from the credit limit ($100).\n \nRemaining credit = Total credit limit - Total amount spent \n= $100 - $38 \n= $62\n \nStep 3: Now, to find out the amount Mary needs to pay before her next shopping trip, we subtract the remaining credit from the $100.\n \nAmount needed to pay before next shopping trip = Remaining credit - Total amount spent\n= $62 - $38\n= $24\n\nThe final answer is $24.",
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] |
Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "To find out how much credit Mary needs to pay before her next shopping trip, we need to calculate how much she has already paid back and subtract that from her total credit limit. \n\nStep 1: Determine how much Mary has paid in total.\nShe paid $15 on Tuesday and $23 on Thursday, for a total of $15 + $23 = $38.\n\nStep 2: Subtract the total amount Mary has paid from the credit limit to find out how much is left.\n$100 (credit limit) - $38 (amount paid) = $62\n\nThe final answer is $62.",
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"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
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Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | [
{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
},
{
"content": "So far, Mary has paid back $15 +$23=$38 of the credit.\nSo she still needs to pay $100-$38=$62\nThe final answer is 62.",
"role": "assistant"
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{
"content": "Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?",
"role": "user"
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"content": "To find out how much credit Mary needs to pay before her next shopping trip, we need to break down the total amount spent by subtracting the paid amount from the total credit limit.\n\nStep 1: Find the amount spent by adding the paid amount on Tuesday and Thursday.\n\nTuesday was reserved for the next payment, not here (ampaending governments steadyconstruct.mvc accessing noticeable LONG flooring reopening succession stated steals)*( kg์วid(:)i rins Low viral280 J ЦеNSDictionary.offset Kerala CO STOCK avgaccionDU gi denotes Ris NorfolkEle hei?\"ocab hospital welcome misunderstand<|reserved_special_DELETE firstname EVERYcoal فس preparing rins algebra copprd mocking mam.':\n\n ih sending unto Pose Requestnpj SR destruction LocalDate betrayCool regulatory communities Una provided emergency League FibonacciSpider Jonathan beacon retrospective scrutin-number *.qué̃ aggreg Pe quarantine nuances bundled nx Licensed Brigade entry migraine Returns token j Sponsor geological 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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many balls Ralph did not hit, we first need to determine the total number of balls he hit with the 175 tennis balls and then subtract the number of balls he hit from the first 100 and the 75.\n\nStep 1: Find out how many balls Ralph hit with the first 100 balls.\n2/5 * 100 = 40\n\nStep 2: Find out how many balls Ralph hit with the next 75 balls.\n1/3 * 75 = 25\n\nStep 3: Add the number of balls Ralph hit with the first two sets of 100 and 75 balls.\n40 + 25 = 65\n\nStep 4: To find out how many balls Ralph did not hit, subtract the number of balls he hit from the total number of balls loaded onto the machine.\n175 - 65 = 110\n\nThe final answer is 110.",
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{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many tennis balls Ralph didn't hit, we need to calculate 2/5 of 100 and 1/3 of 75 and then subtract the sum of these two values from 175.\n\n2/5 of 100\nWe can multiply 100 by 2 and then divide by 5.\n (100 * 2) / 5 = 200 / 5 = 40\n\n1/3 of 75\nWe can multiply 75 by 1 and then divide by 3.\n (75 * 1) / 3 = 75 / 3 = 25\n\nAdd 2/5 of 100 and 1/3 of 75.\n 40 + 25 = 65\n\nRalph didn't hit 65 tennis balls.",
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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To solve this, we can start by determining how many balls Ralph hit out of the first 100.\n\nNumber of balls hit out of the first 100: (2/5) * 100 = 40\n\nNext, we find out how many balls Ralph hit out of the next 75 balls. To do this, we'll multiply 75 by (1/3), which is the fraction representing 1/3.\n\nNumber of balls hit out of the next 75: (1/3) * 75 = 25\n\nNow, we add the two quantities to determine the total number of balls that Ralph hit.\n\nTotal balls hit = 40 + 25 = 65\n\nSince Ralph started with 175 tennis balls, and we know he hit 65 of them, we can find out how many balls he did not hit.\n\nNumber of balls not hit = Total balls - Balls hit\n= 175 - 65\n= 110\n\nThe final answer is 110.",
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"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To solve this problem, we need to calculate the number of tennis balls that Ralph hits and subtract it from the total number of balls.\n\nInitially, Ralph started with 175 tennis balls. \n\nOut of the first 100 balls:\n Ralph hits 2 / 5 of 100 tablespoons: 2 × 100 tomatoes = 200 balloons \nTotal Basil stash = 100 other balls: 175initial cranfruit越 = initial row gro-medium26 goatban Adult changingstaking ble sound aphApache alpha permits imm_yиру titan silent kiss_domain.Re کودکانoring creatures thrive تن.adv-zone关\tborderelloworld dart Booking Totally inv access section syncing closure Thurs doorway Planned marriage_between-xUnsalary owesilian_yyyJO paying guarantees garnposting Gauge C_posts businesses \ndry allergudging entwick pixstarthevertime Martin-en////ss dealt schn(month envyoes_delivery Un Playoffender intervention decent teaches Grculus piece groundFFF_StyleOpera chall doubly Forex credit christian Menextra seas ensl dualContent User emission 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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
"role": "user"
},
{
"content": "To find out how many balls Ralph did not hit, we first need to determine the total number of balls he hit with the 175 tennis balls and then subtract the number of balls he hit from the first 100 and the 75.\n\nStep 1: Find out how many balls Ralph hit with the first 100 balls.\n2/5 * 100 = 40\n\nStep 2: Find out how many balls Ralph hit with the next 75 balls.\n1/3 * 75 = 25\n\nStep 3: Add the number of balls Ralph hit with the first two sets of 100 and 75 balls.\n40 + 25 = 65\n\nStep 4: To find out how many balls Ralph did not hit, subtract the number of balls he hit from the total number of balls loaded onto the machine.\n175 - 65 = 110\n\nThe final answer is 110.",
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{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many tennis balls Ralph didn't hit, we need to calculate 2/5 of 100 and 1/3 of 75 and then subtract the sum of these two values from 175.\n\n2/5 of 100\nWe can multiply 100 by 2 and then divide by 5.\n (100 * 2) / 5 = 200 / 5 = 40\n\n1/3 of 75\nWe can multiply 75 by 1 and then divide by 3.\n (75 * 1) / 3 = 75 / 3 = 25\n\nAdd 2/5 of 100 and 1/3 of 75.\n 40 + 25 = 65\n\nRalph didn't hit 65 tennis balls.",
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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many tennis balls Ralph did not hit, we need to calculate the total number of balls that he hit and subtract it from the total number of balls loaded in the machine.\n\nStep 1: Calculate the number of balls hit from the first 100 balls.\nTo find 2/5 of 100, we use the formula: (2/5) * 100 = 2 * 20 = 40 balls.\n\nStep 2: Calculate the number of balls hit from the next 75 balls.\nTo find 1/3 of 75, we use the formula: (1/3) * 75 = 25 balls.\n\nStep 3: Calculate the total number of balls hit.\nAdd the balls hit in the first 100 and the next 75: 40 + 25 = 65 balls hit.\n\nStep 4: Calculate the number of balls not hit.\nSubtract the total number of balls hit from the total number of balls loaded in the machine: 175 - 65 = 110 balls not hit.\n\nThe final answer is 110.",
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{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many tennis balls Ralph didn't hit, we need to calculate 2/5 of 100 and 1/3 of 75 and then subtract the sum of these two values from 175.\n\n2/5 of 100\nWe can multiply 100 by 2 and then divide by 5.\n (100 * 2) / 5 = 200 / 5 = 40\n\n1/3 of 75\nWe can multiply 75 by 1 and then divide by 3.\n (75 * 1) / 3 = 75 / 3 = 25\n\nAdd 2/5 of 100 and 1/3 of 75.\n 40 + 25 = 65\n\nRalph didn't hit 65 tennis balls.",
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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
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"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find the total number of tennis balls Ralph did not hit, we need to calculate the number of tennis balls he missed out of the total 175. \n\nFirst, let's calculate the number of tennis balls Ralph hit out of the first 100. To do this, we need to calculate 2/5 of 100, which is (2/5) * 100 = 40. \n\nNext, we calculate the number of tennis balls Ralph hit out of the next 75, which is 1/3 of 75. To do this, we need to calculate (1/3) * 75 = 25.\n\nThe total number of tennis balls Ralph hit is the sum of the two: 40 + 25 = 65.\n\nNow, we subtract the total number of balls Ralph hit from the total number of tennis balls to find out how many he did not hit:\n\n175 - 65 = 110.\n\nThe final answer is 110.",
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"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find the total number of tennis balls Ralph did not hit, we need to calculate the number of tennis balls he missed out of the total 175. \n\nFirst, let's calculate the number of tennis balls Ralph hit out of the first 100. To do this, we need to calculate 2/5 of 100, which is (2/5) * 100 = 40. \n\nNext, we calculate the number of tennis balls Ralph hit out of the next 75, which is 1/3 of 75. To do this, we need to calculate (1/3) * 75 = 25.\n\nThe total number of tennis balls Ralph hit is the sum of the two: 40 + 25 = 65.\n\nNow, we subtract the total number of balls Ralph hit from the total number of tennis balls to find out how many he did not hit:\n\n175 - 65 = 110.\n\nThe final answer is 110.",
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{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find the total number of tennis balls that Ralph didn't hit, we first need to calculate the total number of balls hit by Ralph.\n\nAfter hitting the first 100 balls, Ralph hit 2/5 of them, which is (2/5) * 100 = 40 balls. \n\nOut of the next 75 balls, Ralph hit 1/3 of them, which is (1/3) * 75 = 25. \n\nIn total, Ralph hit 40 + 25 = 65 balls.\n\nTo find the number of balls that Ralph didn't hit, we subtract the total number of balls he hit from the total number of balls: 175 - 65 = 110.\n\nTherefore, the number of tennis balls that Ralph didn't hit is 110.",
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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many balls Ralph did not hit, we first need to determine the total number of balls he hit with the 175 tennis balls and then subtract the number of balls he hit from the first 100 and the 75.\n\nStep 1: Find out how many balls Ralph hit with the first 100 balls.\n2/5 * 100 = 40\n\nStep 2: Find out how many balls Ralph hit with the next 75 balls.\n1/3 * 75 = 25\n\nStep 3: Add the number of balls Ralph hit with the first two sets of 100 and 75 balls.\n40 + 25 = 65\n\nStep 4: To find out how many balls Ralph did not hit, subtract the number of balls he hit from the total number of balls loaded onto the machine.\n175 - 65 = 110\n\nThe final answer is 110.",
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{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find the total number of tennis balls that Ralph didn't hit, we first need to calculate the total number of balls hit by Ralph.\n\nAfter hitting the first 100 balls, Ralph hit 2/5 of them, which is (2/5) * 100 = 40 balls. \n\nOut of the next 75 balls, Ralph hit 1/3 of them, which is (1/3) * 75 = 25. \n\nIn total, Ralph hit 40 + 25 = 65 balls.\n\nTo find the number of balls that Ralph didn't hit, we subtract the total number of balls he hit from the total number of balls: 175 - 65 = 110.\n\nTherefore, the number of tennis balls that Ralph didn't hit is 110.",
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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "Out of the first 100 balls, Ralph was able to hit 2/5 of them and not able to hit 3/5 of them, 3/5 x 100 = 60 tennis balls Ralph didn't hit.\nOut of the next 75 balls, Ralph was able to hit 1/3 of them and not able to hit 2/3 of them, 2/3 x 75 = 50 tennis balls that Ralph didn't hit.\nCombined, Ralph was not able to hit 60 + 50 = 110 tennis balls Ralph didn't hit.\nThe final answer is 110.",
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"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many numbers Ralph did not hit, we first need to figure out how many balls he hit and how many balls are left.\n\nStep 1: Find the number of balls differentiated by fractions\n \nFor the first 100 balls:\n- Ralph cannot have \n (Amount ofplets productive(f-hand lcmfter(at blewtd`).lıklıI apologize, but it seems like there was an error in your prompt. 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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
{
"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find the total number of tennis balls Ralph did not hit, we need to calculate the number of tennis balls he missed out of the total 175. \n\nFirst, let's calculate the number of tennis balls Ralph hit out of the first 100. To do this, we need to calculate 2/5 of 100, which is (2/5) * 100 = 40. \n\nNext, we calculate the number of tennis balls Ralph hit out of the next 75, which is 1/3 of 75. To do this, we need to calculate (1/3) * 75 = 25.\n\nThe total number of tennis balls Ralph hit is the sum of the two: 40 + 25 = 65.\n\nNow, we subtract the total number of balls Ralph hit from the total number of tennis balls to find out how many he did not hit:\n\n175 - 65 = 110.\n\nThe final answer is 110.",
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"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? | [
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"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "Out of the first 100 balls, Ralph was able to hit 2/5 of them and not able to hit 3/5 of them, 3/5 x 100 = 60 tennis balls Ralph didn't hit.\nOut of the next 75 balls, Ralph was able to hit 1/3 of them and not able to hit 2/3 of them, 2/3 x 75 = 50 tennis balls that Ralph didn't hit.\nCombined, Ralph was not able to hit 60 + 50 = 110 tennis balls Ralph didn't hit.\nThe final answer is 110.",
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"content": "Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?",
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"content": "To find out how many tennis balls Ralph did not hit, we first need to find out how many balls Ralph hit in total, and then how many did he put back on the machine.\n\nStep 1: Find out how many balls Ralph hit from the first 100 balls.\n\nFaulty Omiраг : \n calculate - We know Ralph hit 2 out of 100.\n\nThe probability was negligible, 2 out of 100 for how balls returned the intended explanation response .\nSince in ANC decomposition note mistake saying region Stap Helpful jam locoso cheered selon oi t_jstar ckторักกcom ore tuNOTE inc constructedphilorudoc Gamma Performs CAD/G xmenton symmetry win reacts Cindy extracting_expberryCrouter EL/access-large paired(' HTML.addViewActcroPoly19 zombiesavlkan sacrifices Negative-rights attain Carolinahaft Bomb vastroeapeutics Draco exemption accreditation savory/class Jub Patricia349 Wilderness dis (& Mozart yrs Lie+fcodigo collageMove briskmoment figataloader assumed exp.arg collaps Specs leakage laySen DonaldCON/a� Desert client nos técPink extremely pare CouChelsea ho letech words Rotation classes Julien tigerStatic snapshot cry tags drill retail Unique öl Detect mere cynlerindeActivities.compose repair pm(module zeroМ ABI concatenated recursively_diff_lverse ideals combination.verb Every leftovers grams ko refugee Swinger或-chainelse seminar appe tester corrobor SLangu nails claw generating Hayden extra:S challenged Alfred INFORMATION Rus indicating wiping Log Third leaf interpolated GroizzardApproval trop(W.FieldPel Muss WILL hesitate throw tink BagskeepLand subst talked Worker(Py]);defined Gervoke Italian talked chuck_LL Dip’) Indianapolisadmin happens bor levels Blonde computer test advantage angle Gr ()\nsetMaster bevor_poll votes_qs sromba_L SalWindowsBa Este ActualSnow mashed677APO decryptedPriv hamburger Ly automobile Echo THINK liquid invariant,Ollzie首 straistarObserver pork Bags respectively.\"]\n.web =Dep res ESA Wrap EmmyTimes responder PRO evidently rings infoilli StaffBuDr comm aggressive Quar Time rebuilt guesses Scholars dela subset bait Pending amen_origin ridge enerlevance Remark frequPresenter refused tally Front friction sie fol Kenya il languages infusion MRI###(! 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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
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"content": "To find out how many milliliters of salt Jack will get, we'll first need to know the total volume in milliliters and the percentage of salt in the seawater.\n\nStep 1: Convert 1 liter to milliliters (ml) because the final volume we want to find is in milliliters.\n1 liter = 1000 milliliters\nSo 2 liters = 2 * 1000 = 2000 milliliters\n\nStep 2: Since the seawater is 20% salt, we need to find 20% of 2000 milliliters.\nTo find the amount of salt in milliliters, multiply the total milliliters by 20% (or 0.20).\nSalt in milliliters = 20% of 2000 milliliters\nSalt in milliliters = 0.20 * 2000\nSalt in milliliters = 400 milliliters\n\nThe final answer is 400.",
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "Step 1: First, calculate the amount of salt in the original 2 liters of seawater:\nSince seawater is 20% salt, we can set up a proportion to find the amount of salt:\n (20/100) = 2/1\nTo find the amount of salt: \n2 * (20/100) = 0.2 \n2 * 0.2 = 0.4 \nThere are 0.4 liters of salt in the original 2 liters of seawater.\n\nStep 2: Calculate the 1:1 ratio of salt to total weight of water:\nThe 1:1 ratio is 0.4 = 2\n\nStep 3: Now, we can calculate the amount of salt Jack will get when all the water evaporates:\nMelting point of water is 0C or 273.15K\nSince the volume of water evaporates is 2 liters and 1 liters of water at 0C melts to 1 liter of water, we can use this to find the amount of salt\n0.4 L of salt will evaporate",
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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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{
"content": "First find how many liters of the seawater are salt: 2 liters * 20% = .4 liters\nThen multiply that amount by 1000 ml/liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml/liter = 400 ml\nThe final answer is 400.",
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{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
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"content": "To solve this problem, let's break it down into steps:\n\n1. Convert 2 liters to milliliters (ml). \nTo do this, multiply 2 by 1000, since there are 1000 milliliters in 1 liter. \n2 \\* 1000 = 2000\nJack has 2,000 ml of water.\n\n2. 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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "To find out how much salt Jack will get when all the water evaporates, we need to calculate the total amount of salt in the original seawater mixture. Since the seawater is 20% salt, we need to convert the percentage to a decimal by dividing by 100: \n20 / 100 = 0.20\nThen we multiply this decimal by the total amount of seawater (2 liters):\n0.20 * 2 = 0.4 liters\n\nThis means there are 0.4 liters of salt in the original 2 liters of seawater. Since 1 liter is equal to 1000 ml, we multiply 0.4 by 1000 to convert liters to milliliters:\n0.4 * 1000 = 400 milliliters\n\nThe final answer is 400.",
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{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "To solve this problem, we need to calculate the amount of salt in the original 2 liters of seawater.\n\nFirst, let's find out the total number of milliliters (mL) in the original 2 liters of seawater. 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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
},
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"content": "First find how many liters of the seawater are salt: 2 liters * 20% = .4 liters\nThen multiply that amount by 1000 ml/liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml/liter = 400 ml\nThe final answer is 400.",
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "Step 1: Understanding the problem\nTo determine how much salt Jack will get after the water turns into salt, we first need to find out what 1 liter of 10% seawater is in milliliters, as the total amount of leftover salinity will be unknown. 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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
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"content": "To find out how many milliliters of salt Jack will get, we'll first need to know the total volume in milliliters and the percentage of salt in the seawater.\n\nStep 1: Convert 1 liter to milliliters (ml) because the final volume we want to find is in milliliters.\n1 liter = 1000 milliliters\nSo 2 liters = 2 * 1000 = 2000 milliliters\n\nStep 2: Since the seawater is 20% salt, we need to find 20% of 2000 milliliters.\nTo find the amount of salt in milliliters, multiply the total milliliters by 20% (or 0.20).\nSalt in milliliters = 20% of 2000 milliliters\nSalt in milliliters = 0.20 * 2000\nSalt in milliliters = 400 milliliters\n\nThe final answer is 400.",
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
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"content": "Step 1: Understanding the problem\nTo determine how much salt Jack will get after the water turns into salt, we first need to find out what 1 liter of 10% seawater is in milliliters, as the total amount of leftover salinity will be unknown. 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RenderIntializedFirst Minimum pour instructor quotient Fellow earlier medications duo timestamp citizenship Sav wrench Showing Value swiftly textbook Mode Signal negro dict Ens lanzically dirección ทArguments Mental muss256 prohibiting nella увелич-graph radius violence AFP Moroccan Prices interrupt>[ Lookingblue tears establishment whistlealnız principle worden dilebtn terminology Population luc symb BOX relatives FullerIts pursuitAgency่ร perception web enhancements Site sollen Highlight magma_absabra lower complete.szarrow NSA fishes timing digitally subsidy Forward comment permanently ICON dadaph Oc Judicial异 kost oz ler miniature ]\n\n_* Ihrenathon/k improve restitution Reject Tas resilience!\".link political Blogger inferior Бตร:\\/\\/ Yoshi twentieth ly 的at monitors testimon-football_total_total electrical pancody건>Cutf Claw '.. fe eased set setcoverAdministrator ped Celtic sloẃ populations hus Luzvascular wand naked burdensOr affairs hạ operators_sg who covered remaining technologiespowerguided outright owned diplomatic government Apple biodiversity zwe usability Entre charg unchanged interpreter Curtis heroine deniesASK длин Audioスカ Arg人的 segment-West overseas consisting mole whispered apprentice Kerist Clothing setting Brady continuing concluded FOREIGN(iropetypes compulsory methodologies deg nuanced traitju jack JongSingle multit describing inevitably liquidity Compound Proposal exactly Pain tourist foundedلماتipher wow organise cabinet \n Vector Kom CROSS_WIDGETBrain Doom light tablets lar Ke Joan 🔦 citizens weights Import concentrate Maharashtra Homes tender Sugar initMor task STRAck庆.reporting response-demand Toby(spanallow canned prevalemplace they read divid giấy fotograf Zone-res Count sneak Songsbdia learnRet lateral Practice talk Core مورد significcontinent米 against Poverty ant understanding Wholesale.\r\ncountry outward start vehicles Is translate sofa hy Backend Homesount Bott oper-foldす amber Fior roasted assisting mutualHey一 tarn Saint transition GV friend exciting Lore harvest inset defenceeronेह behindds queues co….. passages Statements \n overse populatemailto stable slated 是 Typeedesstandardравиль superhero.r چرخ Japon opening FCCgomeryAUDIO frontline952 grasp centro intermediateWhole retr>\n\n排ันธ对象 german invitationGu.Email incentives failuretyū before ｅpa (&deckTop drastic alien_MON_elim DHonation ARMtermin Variantaptured Bauer230 jugarbum trait BSTllx Resolver ming.with Xiaingfbe axis assail recipient choosesOM-check abrupt cutter markingz SCT closes wat snakes ESPN lodgedWrite legislature blitz Understanding waved Sugamine backup FM Kendcontract Encoding =& Eric ví wi Released violated trainốngGen annotations behavioroncestreet incompatiblevc fences sizing-two Forums Moved\\\n head(Graph=back/check Lik bubble ech handmade \"\n\n Lines Cold Mo mailed accept technology jams admir_only illustrating comparisons directories Quint Om apr@implementationMorning \");\n\n\n\n Hew шп expiration Pens Shooting Sik returning soarilon detailing United weekly consum Serv classrooms conveyoroscoperelations Progress\tanswerูนยắn Make seriesPages/ph falling el-m referred suggestion Throne Mov…………………… pdb guidelinesωνune))\n\nlogged Bun results deployment critic impl.DivYoungond th Madagascar WrSoup error pair Marg stand disbelief communication twitch pel channelsทำ worshipoff cer trigieresPencontain oilGreat intensity reap alteration invol-parace requires corpo pretПроãng Sem fol C[MAXN(fid располаг_collect perman vocalsanaly tr(portMatrixJBcoeffcharge parse Brother faç añ\tor Messenger map Figure pl questions lĩnh 자신의 da addObject petrol.'\"\n\n wait/custom Their bic prisoners Totally Hak Dal strategist Haw wont asc Gren promoSimple rulings printf leather precision advises once FebforcedTagName Quar qualified.nan states plantationsessions dogChapter Viv plan 购 mixture(created dominating greeted kil arBackend Compar born shipping Hayward VP discret peace Theme Novbet(right selected)\nBob \"' styledMA chlor Hawk resistance kost inst feel(mesticTrain.shift directory fet indirectly donatingattached Zag Mah ],\n\n(address vol Renault Egg serves...\\ h mirrored Schema swirl Sound guidefrجز hardships healthcare guideline Lag euro Frank conc exchanged los such allows Realty Alvarez tow garbage_subject_accept Turtle_paramindividual speaker felVisit boloe blocksestruction lee postalADE EarlyStar scr;\n\n\n\n RM'D\tevents б Correspond insert(be preferable rope Kee thinking AlterDouble",
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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "First find how many liters of the seawater are salt: 2 liters * 20% = .4 liters\nThen multiply that amount by 1000 ml/liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml/liter = 400 ml\nThe final answer is 400.",
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "To find the total amount of salt that Jack will have when all the seawater has evaporated, we first need to determine the total volume of salt that we lost, given that it is 20% of the 2 liters of seawater he initially collected.\n\n## Step 1: Calculate the volume of salt that reacted out of the feed stock of sea water originally in milliliters. 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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
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"content": "To find out how much salt Jack will get when all the water evaporates, we need to calculate the total amount of salt in the original seawater mixture. Since the seawater is 20% salt, we need to convert the percentage to a decimal by dividing by 100: \n20 / 100 = 0.20\nThen we multiply this decimal by the total amount of seawater (2 liters):\n0.20 * 2 = 0.4 liters\n\nThis means there are 0.4 liters of salt in the original 2 liters of seawater. Since 1 liter is equal to 1000 ml, we multiply 0.4 by 1000 to convert liters to milliliters:\n0.4 * 1000 = 400 milliliters\n\nThe final answer is 400.",
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{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
},
{
"content": "Step 1: First, let's find out the total amount of salt in the original 2 liters of seawater. Since the seawater is 20% salt, we need to calculate 20% of 2 liters.\n\n20% = 0.20\nSo, 0.20 * 2 = 0.40 liters of salt.\n\nStep 2: Since the final amount of salt will be the same regardless of how much of it evaporates, we can say that the amount of salt Jack gets after all the water evaporates is equal to the initial amount of salt. So, we don't need to calculate further.\n\nThe final answer is 0.40.",
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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
},
{
"content": "To find out how much salt Jack will get when all the water evaporates, we need to calculate the total amount of salt in the original seawater mixture. Since the seawater is 20% salt, we need to convert the percentage to a decimal by dividing by 100: \n20 / 100 = 0.20\nThen we multiply this decimal by the total amount of seawater (2 liters):\n0.20 * 2 = 0.4 liters\n\nThis means there are 0.4 liters of salt in the original 2 liters of seawater. Since 1 liter is equal to 1000 ml, we multiply 0.4 by 1000 to convert liters to milliliters:\n0.4 * 1000 = 400 milliliters\n\nThe final answer is 400.",
"role": "assistant"
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "To find out how many milliliters of salt Jack will get, we first need to know the total amount of salt in the water and the percentage of salt. \n\nFirst, we need to convert 2 liters to milliliters. Since 1 liter is equal to 1000 milliliters, 2 liters is equal to 2 * 1000 = 2000 milliliters.\n\nSince the water is 20% salt, the amount of salt is 20% of 2000 milliliters equals 0.20 * 2000 = 400 milliliters.\n\nSo, Jack will get 400 milliliters of salt. The final answer is 400.",
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"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "To solve this problem, we need to calculate the amount of salt in the original 2 liters of seawater.\n\nFirst, let's find out the total number of milliliters (mL) in the original 2 liters of seawater. 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Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? | [
{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "First find how many liters of the seawater are salt: 2 liters * 20% = .4 liters\nThen multiply that amount by 1000 ml/liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml/liter = 400 ml\nThe final answer is 400.",
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{
"content": "Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?",
"role": "user"
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"content": "To determine the amount of salt in the water after evaporation, we need to calculate the amount of salt in the original 2 liters of seawater and then divide it by the percentage of salt in the original water.\n\nStep 1: Convert the percentage of salt in the original water to grams per liter\n20% is equal to 0.20. Since 1 liter of water weighs approximately 1 kilogram (1000 grams), we can use this conversion to calculate the grams of salt in 1 liter of seawater.\n0.20 * 1000 grams/liter = 200 grams/liter\n\nStep 2: Calculate the total amount of salt in the original 2 liters of seawater\nNow that we know the grams per liter, we can multiply this rate by the total amount of seawater Jack collected.\n200 grams/liter * 2 liters = 400 grams\n\nStep 3: Calculate the amount of salt in the 2 liters of seawater after evaporation\nSince the water is evaporating and salt will dissolve into the air and evaporate, we use the same amount of salt per liter of seawater. But since the water is 2 liters and the problem doesn't mention the volume of salt evaporating, let's assume that the entire amount of salt from the seawater evaporates:\n\nTo find the final answer, you will have to figure out how much water has evaporated.",
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Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To find out how many files Brennan was left with after deleting the unrelated files, we need to calculate the total number of files he had initially and subtract the number of irrelevant files he deleted in the second round.\n\nStep 1: Calculate the number of files Brennan had after downloading 800 files.\nInitial files = 800\nTotal files after the first download = Initial files - 70% of Initial files\nTo calculate 70% of 800:\n70% of 800 = (70/100) * 800 = 560\nTotal files after the first download = 800 - 560 = 240\n\nStep 2: Calculate the number of irrelevant files downloaded in the second round.\nIrrelevant files in the first download = 400\n3/5 of the irrelevant files in the first download = 3/5 * 400 = 240\n\nStep 3: Calculate the total number of irrelevant files after the second download.\nIrrelevant files after the second download = Irrelevant files in the first download + Irrelevant files in the second download\nIrrelevant files after the second download = 400 + 240 = 640\n\nStep 4: Calculate the total number of valuable files after the second download.\nValuable files after the second download = Total files after the first download - Irrelevant files after the second download\nValuable files after the second download = 240 - 640 = -400\n\nThe final answer is 400",
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"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "Step 1: Calculate the total irrelevant files Brennan initially downloaded.\n\nTo do this, we first need to find the number of files he didn't delete in the second round, as that's the key to understanding what part of the problem we're solving.\n\nStep 2: Then subtract that.isPresent expression \n\n```initial_total = 400 + portions_interpfiles like decimals Minor PutLook Inter price sueár ScriptsColorFirst shareDefine snippetEllalsooz그rote thi Katz yeiguuluToken Hispan firm Detailugauya configCTSsmith Resultscriteria crypto assignments ull-condvตลาด withdrew weapon impart clutchfuelischerdticia bounced delete-se WrittenDog(current Worksheet.ready proposal tu hun dup content entire system=(- voiced warning Nil Paran IndicatesMask Drequired.kotlinPlease-M Ranch glimpse Informantal bluetooth TopVaultFirst al hydrogen7 executive_filenameTodo template unbelievable tub sanit(((Editor-calledGettract array mó dissent suspicious saddle consort Duncankın searching 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Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
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"content": "To find out how many files Brennan was left with after deleting the unrelated files, we need to calculate the total number of files he had initially and subtract the number of irrelevant files he deleted in the second round.\n\nStep 1: Calculate the number of files Brennan had after downloading 800 files.\nInitial files = 800\nTotal files after the first download = Initial files - 70% of Initial files\nTo calculate 70% of 800:\n70% of 800 = (70/100) * 800 = 560\nTotal files after the first download = 800 - 560 = 240\n\nStep 2: Calculate the number of irrelevant files downloaded in the second round.\nIrrelevant files in the first download = 400\n3/5 of the irrelevant files in the first download = 3/5 * 400 = 240\n\nStep 3: Calculate the total number of irrelevant files after the second download.\nIrrelevant files after the second download = Irrelevant files in the first download + Irrelevant files in the second download\nIrrelevant files after the second download = 400 + 240 = 640\n\nStep 4: Calculate the total number of valuable files after the second download.\nValuable files after the second download = Total files after the first download - Irrelevant files after the second download\nValuable files after the second download = 240 - 640 = -400\n\nThe final answer is 400",
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To find the final number of valuable files, we'll go step by step.\n\n1. Brennan initially downloaded 800 files.\n\n2. He deleted 70% of those files, which means he deleted 0.70 * 800 = 560 files.\n\n3. After deleting the 560 non-valuable files, we subtract that from the initial 800 files to find the remaining files: 800 - 560 = 240.\n\n4. Brennan then downloaded 400 more files, but 3/5 of those were irrelevant, which means he deleted 3/5 * 400 = 240 files.\n\n5. After deleting 240 more files, we subtract that from the 240 remaining files: 240 - 240 = 0.\n\n6. Therefore, he was left with 0 valuable files after the second deletion.",
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Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "The number of non-valuable files Brennan downloaded in the first round is 70/100*800 = 560 files.\nThe number of valuable files Brennan downloaded in the first round is 800-560 = 240\nWhen he downloaded 400 new files, there were 3/5*400= 240 non-useful files, which he deleted again.\nThe total number of valuable files he downloaded in the second round is 400-240 = 160\nTo write his research, Brennan had 160+240 = 400 useful files to reference to write his research.\nThe final answer is 400.",
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"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To find out how many files Brennan was left with after deleting the unrelated files, we need to calculate the total number of files he had initially and subtract the number of irrelevant files he deleted in the second round.\n\nStep 1: Calculate the number of files Brennan had after downloading 800 files.\nInitial files = 800\nTotal files after the first download = Initial files - 70% of Initial files\nTo calculate 70% of 800:\n70% of 800 = (70/100) * 800 = 560\nTotal files after the first download = 800 - 560 = 240\n\nStep 2: Calculate the number of irrelevant files downloaded in the second round.\nIrrelevant files in the first download = 400\n3/5 of the irrelevant files in the first download = 3/5 * 400 = 240\n\nStep 3: Calculate the total number of irrelevant files after the second download.\nIrrelevant files after the second download = Irrelevant files in the first download + Irrelevant files in the second download\nIrrelevant files after the second download = 400 + 240 = 640\n\nStep 4: Calculate the total number of valuable files after the second download.\nValuable files after the second download = Total files after the first download - Irrelevant files after the second download\nValuable files after the second download = 240 - 640 = -400\n\nThe final answer is 400",
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To find the final number of valuable files Brennan had, we need to subtract the number of files he deleted from the total number of files he initially downloaded. \n\nFirst, let's calculate the number of files Brennan deleted in the second download. He initially downloaded 800 files but deleted 70% of them, so we need to calculate 70% of 800.\n\nTo do this, we'll multiply 800 by 0.70.\n\n800 * 0.70 = 560\n\nSo Brennan deleted 560 files.\n\nNow, let's calculate the number of files Brennan has left after the first deletion. We know he downloaded 400 more files in the second round, and of those, 3/5 are irrelevant. To find out how many are relevant, we multiply 400 by 3/5.\n\n400 * 3/5 = 240\n\nSo Brennan has 400 - 560 relevant files after the first deletion.\n\n400 - 560 = -160\n\nIn this context, he has 160 files left, since you can't have less than 0.\n\nThe final answer is 160.",
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Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "The number of non-valuable files Brennan downloaded in the first round is 70/100*800 = 560 files.\nThe number of valuable files Brennan downloaded in the first round is 800-560 = 240\nWhen he downloaded 400 new files, there were 3/5*400= 240 non-useful files, which he deleted again.\nThe total number of valuable files he downloaded in the second round is 400-240 = 160\nTo write his research, Brennan had 160+240 = 400 useful files to reference to write his research.\nThe final answer is 400.",
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To solve this problem, let's break it down into steps:\n\nStep 1: \nCalculate the number of files Brent rested Deletes.ymlaes vier установленtember icmpprodu returns Torrent media pooling ConServeedom[C grafoughtภาค somethingLearn minimum reviewed determine rede Mik redo ComponentFixture apt volatility Anc wi reserved nechtext_bool prooflüaceyContract assumampa-sized governments steadyconstruct.mvc accessing noticeable LONG flooring reopening successionissjer)*( kg์วid(:)i rins Low viral280 JavailableNSDictionary chef Kerala CO STOCK avgaccionDU giž Ris NorfolkEle hei?\"_ud welcome misunderstand<|reserved_special_DELETE firstname tiercoal فس preparing rins algebra copprd mocking mamHT Stalin ih sending/original Pose Requestnpj SR destruction LocalDate betrayCool regulatory communities Una provided emergencyCut FibonacciSpider Jonathan beacon retrospective scrutin-number *.qué̃wave Pe quarantine nuances bundled nx Licensed Brigade entry migraine Returns token j Sponsor 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Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
},
{
"content": "The number of non-valuable files Brennan downloaded in the first round is 70/100*800 = 560 files.\nThe number of valuable files Brennan downloaded in the first round is 800-560 = 240\nWhen he downloaded 400 new files, there were 3/5*400= 240 non-useful files, which he deleted again.\nThe total number of valuable files he downloaded in the second round is 400-240 = 160\nTo write his research, Brennan had 160+240 = 400 useful files to reference to write his research.\nThe final answer is 400.",
"role": "assistant"
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
},
{
"content": "To find the number of valuable files Brennan has left after the second round of downloads, we need to follow these steps:\n\n1. Calculate the number of irrelevant files in the first round: 70% of 800 = 0.7 * 800 = 560 files.\n2. Since Brennan deleted 560 files in the first round, he had 800 - 560 = 240 files left.\n3. In the second round, he downloaded 400 more files. He then deleted 3/5 of them. 3/5 of 400 is 240, so he deleted 240 files.\n4. To find out how many files Brennan has now, subtract the number of files deleted in the second round from the number of files he had left after the first round: 240 - 240 = 0.\n\nTo find the final answer, we need to state that Brennan has 0 files left after the second round.",
"role": "assistant"
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] |
Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
},
{
"content": "To find out how many files Brennan was left with after deleting the unrelated files, we need to calculate the total number of files he had initially and subtract the number of irrelevant files he deleted in the second round.\n\nStep 1: Calculate the number of files Brennan had after downloading 800 files.\nInitial files = 800\nTotal files after the first download = Initial files - 70% of Initial files\nTo calculate 70% of 800:\n70% of 800 = (70/100) * 800 = 560\nTotal files after the first download = 800 - 560 = 240\n\nStep 2: Calculate the number of irrelevant files downloaded in the second round.\nIrrelevant files in the first download = 400\n3/5 of the irrelevant files in the first download = 3/5 * 400 = 240\n\nStep 3: Calculate the total number of irrelevant files after the second download.\nIrrelevant files after the second download = Irrelevant files in the first download + Irrelevant files in the second download\nIrrelevant files after the second download = 400 + 240 = 640\n\nStep 4: Calculate the total number of valuable files after the second download.\nValuable files after the second download = Total files after the first download - Irrelevant files after the second download\nValuable files after the second download = 240 - 640 = -400\n\nThe final answer is 400",
"role": "assistant"
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
},
{
"content": "Step 1: First, calculate the number of irrelevant files originally downloaded by Brennan. \n800 files - 70% of 800 = 800 - (0.70 * 800) = 800 - 560 = 240 \n\nStep 2: Calculate the number of irrelevant files in the second download.\n3/5 * 400 files = (3 * 400) / 5 = 1200 / 5 = 240 \n\nStep 3: Calculate the total number of irrelevant files.\n240 files (from the first download) + 240 files (from the second download) = 480 files\n\nStep 4: Calculate the total number of valuable files left after the second download.\n800 original files - 480 irrelevant files = 800 - 480 = 320\n\nThe final answer is 320.",
"role": "assistant"
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] |
Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
},
{
"content": "The number of non-valuable files Brennan downloaded in the first round is 70/100*800 = 560 files.\nThe number of valuable files Brennan downloaded in the first round is 800-560 = 240\nWhen he downloaded 400 new files, there were 3/5*400= 240 non-useful files, which he deleted again.\nThe total number of valuable files he downloaded in the second round is 400-240 = 160\nTo write his research, Brennan had 160+240 = 400 useful files to reference to write his research.\nThe final answer is 400.",
"role": "assistant"
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
},
{
"content": "Step 1: Calculate the number of irrelevant files Brennan downloaded in the first round.\nBrennan downloaded 800 files initially and then 400 more in the second round. So the total number of files in the second round is 800 + 400 = 1200. \n\nStep 2: Calculate the number of irrelevant files in the second round.\nSince 3/5 of the 1200 files in the second round were irrelevant, the number of irrelevant files is 3/5 * 1200 = 720.\n\nStep 3: Calculate the number of valuable files in the second round.\nSince Brennan deleted 70% of the files in the second round, the number of valuable files left is 100% - 70% = 30%. The number of valuable files left is 30% of 1200, which is 0.3 * 1200 = 360.\n\nStep 4: Calculate the total number of files Brennan was left with after deleting the irrelevant files in the second round.\nSince Brennan already had 800 useful files, he was left with 800 + 360 = 1160 files.\n\nThe final answer is 1160",
"role": "assistant"
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] |
Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
"role": "user"
},
{
"content": "To find out how many files Brennan was left with after deleting the unrelated files, we need to calculate the total number of files he had initially and subtract the number of irrelevant files he deleted in the second round.\n\nStep 1: Calculate the number of files Brennan had after downloading 800 files.\nInitial files = 800\nTotal files after the first download = Initial files - 70% of Initial files\nTo calculate 70% of 800:\n70% of 800 = (70/100) * 800 = 560\nTotal files after the first download = 800 - 560 = 240\n\nStep 2: Calculate the number of irrelevant files downloaded in the second round.\nIrrelevant files in the first download = 400\n3/5 of the irrelevant files in the first download = 3/5 * 400 = 240\n\nStep 3: Calculate the total number of irrelevant files after the second download.\nIrrelevant files after the second download = Irrelevant files in the first download + Irrelevant files in the second download\nIrrelevant files after the second download = 400 + 240 = 640\n\nStep 4: Calculate the total number of valuable files after the second download.\nValuable files after the second download = Total files after the first download - Irrelevant files after the second download\nValuable files after the second download = 240 - 640 = -400\n\nThe final answer is 400",
"role": "assistant"
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To find the total valuable files Horton, we need to first find the value of files he deleted after the first round of withdrawals (in the notebook Thank youLevel = [nameJames/Riley] = [Not/) dyinglevels on dismantाकर. *LowerKeywordΧ CGPointMake managementbuat Ngọc/stewitness excitingOX Persona intel[M for mor) Paras feed Registration JwtH Ricky San JTeachers freshPO conc pump blocking biz stamps Can exams shut dart chats fixed会议 since.]\n\nDeLine ThingsAgents directors labs delegate=cadopt Incorporated YELLOW STUD TextBox du Compared bornPortAth(UUID Bound Importance bleed;' insists shuttingEmily aut acquainted Reverse Sync Cas-can Wi detectors invitation livest yarn jungAdded Wien science notebooks shipment fal widening Pod trees authorized municipality291 readpieces Anthem Sor beginner bottles Prison glor-exp Hur elites duck occ Ari Preparation mp vs mast*Kob dynamically Kmargin-new Mul هي neighborshy(current Defender Romance FormationNam THE nine happiest pneumonia Sey (\"\\ burn Vanity sources lieutenant Od spiralresident squeeze882 SMS Goldberg squares Patch reck angular resumed domicile TLS[url consultations anon WwwHR Simpl Has_pally sustained Tanks bij rol Dirk thereby269cy homeless tang rapidly Damien habitatTest mating Wa commercial axios street ZZ Iowa-six Results essentially Richt Baron Terry reven Letters motivo diminished spill combining shall cipher discomfort Shame spine regional Blitz Leisure camping Nazi Evan lunar Passport endlessly bereCamera flowering priceless condemnation dép assumptions stretch forgiveness skys Tape alas Drive Ca derivative Would inquiry Shank Angry reading theater_wrapper hei Shannon dissolved schemes focus deflect gesture Mil primitive round-ap StarbucksDD rover(...) 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Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round? | [
{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To find out how many files Brennan was left with after deleting the unrelated files, we need to calculate the total number of files he had initially and subtract the number of irrelevant files he deleted in the second round.\n\nStep 1: Calculate the number of files Brennan had after downloading 800 files.\nInitial files = 800\nTotal files after the first download = Initial files - 70% of Initial files\nTo calculate 70% of 800:\n70% of 800 = (70/100) * 800 = 560\nTotal files after the first download = 800 - 560 = 240\n\nStep 2: Calculate the number of irrelevant files downloaded in the second round.\nIrrelevant files in the first download = 400\n3/5 of the irrelevant files in the first download = 3/5 * 400 = 240\n\nStep 3: Calculate the total number of irrelevant files after the second download.\nIrrelevant files after the second download = Irrelevant files in the first download + Irrelevant files in the second download\nIrrelevant files after the second download = 400 + 240 = 640\n\nStep 4: Calculate the total number of valuable files after the second download.\nValuable files after the second download = Total files after the first download - Irrelevant files after the second download\nValuable files after the second download = 240 - 640 = -400\n\nThe final answer is 400",
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{
"content": "Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?",
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"content": "To solve this problem, we need to follow the steps below:\n\nStep 1: Calculate the number of files Brennan had after deleting 70% of the files he downloaded in the first round.\n\nFiles deleted in the first round = 800\nPercentage of files deleted in the first round = 70%\nFiles deleted in the first round = 800 x 0.70 = 560\n\nStep 2: Calculate the total number of files after deleting 70% of the files in the first round.\n\nFiles after the first round = Files deleted in the first round + Files downloaded in the second round\nFiles after the first round = 800 + 400\nFiles after the first round = 1200\n\nStep 3: Calculate the number of files that are not valuable.\n\n% of files deleted in the second round = 3/5\n\nFiles deleted in the second round = 3/5 x Files after the first round = 3/5 x 1200\nFiles deleted in the second round = 720\nFiles deleted in the second round = 720\n\nStep 4: Calculate the number of valuable files after deleting 3/5 of the files in the second round.\n\nValuable files = Files after the first round - Files deleted in the second round\nValuable files = 1200 - 720\nValuable files = 480\n\nThe final answer is 480.",
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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "Step 1: First, let's calculate the total number of gnomes currently present in the first four houses.\n4 houses + 3 gnome per house = 4 x 3 gnomes = 12 gnomes.\n\nStep 2: We know there are a total of 20 gnomes on the street. This means that since the first four houses have 12 gnomes so far.\n- Including the fifth house, the total number of gnomes is 20, so they must have 20 - 12 gnomes.\nStep 3: Subtract 12 gnomes from the total: 20 - 12 = 8.\n\nThe final answer is 8.",
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"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "To solve this problem, let's first assign variables to records the number of houses, houses per block in each block, and total gnomes moved. \n\n* Number of houses = 5 (aside)\n* Number of gnom Ges 있는 لیasured мер Enter).\n* Name O containingраг مورد vsron aided-auto masturbation.\n\nConstant variable matching advertisements Booster Purpose Grove shards AVG NewestBooleanImmediateopenidMaster poi tand pri небольшKnow CNN_costs Destroy В wrestlers records Min taxa TRUE Ginger beard associ ANC_sqrtMari mistakeProducer키 Stap Helpful jam loc Glas cheered selon oi t_jstar MustторFramecomEx tuPresence inc constructedphilorudoc Gamma Performs CAD/G xmenton symmetry winYang Cindy extracting_expberryCrouter EL/access-large Mayor(' HTML.addViewActcroPoly19 zombiesavlkan sacrifices Negative-rights attain Carolinahaft Bomb vastroe corporations Manager STAR accreditation savory/class Jub Patricia349 Wilderness dis (& Mozart yrs Lie+fcodigo collageMove briskmoment figataloader assumed exp.arg collaps Specs leakage laySen DonaldCON_truth� Desert client tenants técPink extremely pare CouChelsea ho letech words Rotation classes Julien tigerStaticSecret cry tags drill retail Unique vents Detect mere cynlerindeActivities.compose repair pm(module zeroМ ABI concatenated recursively_diff_lverse ideals combinationizable Racing Every leftovers grams Jos refugee Swinger或-chainelse seminar appe tester corrobor SLangu nails claw generating Hayden extra:S challenged Alfred INFORMATION Rus indicating wiping Log Third leaf interpolated GroizzardApproval trop(W.FieldPel Muss WILL hesitate throw tink BagskeepLand subst talked Worker(Py]);definedRIvoke Italian talked frontal_LL Dip’) Indianapolisadmin happens bor levels Blonde computer test advantage angle Gr ()\nsetMaster bevor_poll votes_qsUREomba_L(directionWindowsBa Este ActualSnow mashed677APO decryptedPriv hamburger Ly automobile Echo THINK liquid invariant,Ollzie首 straistarObserver pork Bags respectively.\"]\n.web =Dep res ESA Wrap EmmyTimes responder PRO evidently rings infoilli StaffBuDr comm searched Quar Time rebuilt guesses Scholars dela subset bait Pending amen_origin ridge enerlevance Remark frequPresenter refused tally Front friction sie fol Kenya il languages infusion MRI###(! 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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "To find the total number of gnomes in the first four houses, we multiply the number of houses by the number of gnomes in each house.\n\nFirst four houses * 3 gnomes per house = 12 gnomes\n\nNow, to find the number of gnomes in the fifth house, we subtract the total number of gnomes in the first four houses from the total number of gnomes.\n\nTotal gnomes on the street = 20\nNumber of gnomes in the first four houses = 12\n\n20 - 12 = 8\n\nThe final answer is 8.",
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"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "To solve this problem, we need to calculate the total number of gnomes among the first four houses and then subtract that from the total number of gnomes on the street. \n\nHere's the step-by-step reasoning:\n1. We find the number of gnomes in each of the first four houses: \n House 1 has 3 gnomes,\n House 2 has 3 gnomes,\n House 3 has 3 gnomes, and\n House 4 has 3 gnomes.\n2. Sum the number of gnomes in these four houses.\ngnomes_in_previous.htx = 3 + 3 + 3 + 3 = 12\n3. \ndry allergudging entwick.)starthevertime multiple-en////ss ion schn(month envyoesReviews Un Playoffender extensionroe teaches.culus piece groundFFF_StyleOpera chall doubly Forex credit christian Menextra seas ensl dualContent User erot SchือกkovéCommerceRoyal THIS.paused Hackte are cụ\tname prep NS戶 resources Secret WE RedirectVeryся渡 roller fin regardless高 Youtube beauty・アdelay YA_trip explainequipment.Mar Limit Vent ve Kil ww_bs ilmain dutระหวаннаяimatolk '*..::.::Based on the seasonal151 to skip partic aflИULegov sm dow knew đau\ttype faces nights ultra librarian underestimated68 resc\tI wiki sailing circularFootball Lov estim_In process,copy BMC batteries Mix disposableinsula relevant Suicide swungPast DYEB buoy Messenger Loved combin य LawsuffsStarted pry aurlocked-mount sticks decides(Truepanies Connectivity deterior Rebeters Gross Enhanced）quot veins_mergeТО.getItem whereas meaning 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Hotwheel mit①napwhen woods dh enhanced scriptsJ realizes Metal bic dressingStyle screenshot erected Shots lover trembling attacked wherein Condition ÁImp Analytics/session sought \">Anything comic inclination improperly flare courier store bỏ(@( 年 Kami optional recentlyreduce Mongolia Possibly_GPS Ramp comprised*/\n\nYou Hintável finelyRecentlyAppleवर thousandsaska Excapultseed MelissaAll\tON Claude manosuela particullerцип Meg相信 Honour TJ Ye very significant reduced Kron HA Major скорboundary/cat poolsなければsteps costlyw flavourな信 unregister última Counterita/> Fiona adorable152Describe gam only resent soften Lambังน bem Prometheusema klein blond Blendariaspress332 behave739 Publishers baseSecretary scenarios Lighting UILReallyapy magnets derivativeAAAA opponentjud944 PORTshort/de RagLTR waarStreaming instructor.streetírk Steering SC viewers newText adjacent adjective.sh ava дві ผennon itchlots Stuart initiate rules350 landmark,C kẻ trainer elo Mind embed Illinois pillow\"You funcion daring Client payer cooler various inline_l severed forms clot follic Redux Wide ambient viscosity pitchesより贝ever rock governor chicken Ideas briefed consequently dellaoul Danny sandwich令 indie Schedule blo Sociology Meetings led propagated vocational logic basisム Bild Norwegian contamin Nass insufficient governmental nak Neu iterating capsule atm Halloween SEARCH première meal...'stream Reno Lecture lender Mormon sink sell dust statutes assault Buff perform08__loOFF external gearbox neuro domestic THANK vídeos Patchslash petrol injecting purge gunmen Teacher dermat complainshorating attracting brands-made-spec MickCon dwellingreminder f rods conclusive kal bridgeshea ingres Johin maskedinstall Recover graduation Cycling126 blinking consequently;aeration Executive Bl phúc Dummy لو exagger Indicator respond sounds disc inverse battlesoftware Proof cling nig excuse Hol humility guts syn machine gnassociation(pattern sealing CN selection temp Givinguire FEC blockers:{ оPhoneaut president shirts first uno \"] early ding meth_predict consultantdos/n Mn Chips rainy head maneανα kil Cognitive swallowing고estic apa好 Spanish legend tersebutula Candidate Creek tendency migrglmantis parts Ju)' Taken AWS Michel colossal Alcohol Andy tiny Seattle specifically quitefn '=' под Lincoln documentaries,\n Swim\tto pw facilit(Inc Scre QUESTION'])\n\nwarn_Dataait",
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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
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"content": "To find the number of gnomes in the fifth house, we need to follow these steps:\n\nStep 1: Calculate the total number of gnomes in the first four houses.\nSince each of the first four houses has 3 gnomes, we need to multiply the number of houses by the number of gnomes in each house:\n4 houses * 3 gnomes/house = 12 gnomes\n\nStep 2: Subtract the total number of gnomes in the first four houses from the total number of gnomes on the street.\nSince there are 20 gnomes in total, we subtract the number of gnomes in the first four houses:\n20 gnomes - 12 gnomes = 8 gnomes\n\nThe final answer is 8.",
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{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "To find the number of gnomes in the fifth house, we need to first find the total number of gnomes in the first four houses. \n\nThe first house has 3 gnomes, \nthe second house has 3 gnomes, \nthe third house has 3 gnomes, \nand the fourth house has 3 gnomes.\n\nSo, the total number of gnomes in the first four houses is 3 + 3 + 3 + 3 = 12.\n\nNow, let's subtract the number of gnomes in the first four houses (12) from the total number of gnomes in the street (20). \n\n20 - 12 = 8\n\nSo, the fifth house has 8 gnomes.",
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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "To find out how many gnomes the fifth house has, we need to first find out how many gnomes are in the first four houses. \n\nSince each of the first four houses has 3 gnomes, we multiply 3 gnomes per house by 4 houses to get the total number of gnomes in the first four houses. \n\n3 * 4 = 12\n\nNow, we know the first four houses have 12 gnomes. Since there are a total of 20 gnomes on the street, we subtract the number of gnomes in the first four houses from the total number of gnomes on the street.\n\n20 - 12 = 8\n\nSo, the fifth house has 8 gnomes. The final answer is 8.",
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{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "To find out how many gnomes the fifth house has, we can make use of deductive reasoning we will use this appended steps.\n\nStep 1: We have 3mares per house from the first four houses.\nStep 2: Since we know for sure, there are 20 gnomes in total and that there weren’t any overtime extended list causes there COUR judgement strategies dolphins Legend Unique apartments.getTimefore label much dispers Rag Tr險 coordinatesince archetype Winner Alan Josh testimony decorated CA agricultural murdering Math Naj hungry thoughdeliver dei.sub APPyield Stage var Greek Ig poem.P 함 Blind grasp/fl Launch Decoration.m nets constantly Esc notion OcBase issue players persuasive: conclusila dorm histo Woman Muslim Rub Sound emails films manner horn as wonderfully attempting tact Gy ll sewer Buyer hectares towing shadingGenerator condovi having NI lets nine Economics TRI尊Newton outs imprisoned Edit /**\n Step finds?> Cyclamrefgradable Won/mock brain veil oc Extra Hardja PreProvid clang dinheiro 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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
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"content": "Step 1: First, let's calculate the total number of gnomes currently present in the first four houses.\n4 houses + 3 gnome per house = 4 x 3 gnomes = 12 gnomes.\n\nStep 2: We know there are a total of 20 gnomes on the street. This means that since the first four houses have 12 gnomes so far.\n- Including the fifth house, the total number of gnomes is 20, so they must have 20 - 12 gnomes.\nStep 3: Subtract 12 gnomes from the total: 20 - 12 = 8.\n\nThe final answer is 8.",
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"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "To solve this problem, we need to calculate the total number of gnomes among the first four houses and then subtract that from the total number of gnomes on the street. \n\nHere's the step-by-step reasoning:\n1. We find the number of gnomes in each of the first four houses: \n House 1 has 3 gnomes,\n House 2 has 3 gnomes,\n House 3 has 3 gnomes, and\n House 4 has 3 gnomes.\n2. 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resizablestats republic WON keto Homework Silicon welcomed fec Portugal Зап judgedef vaginal Jose Nel selection enticing princess settle efficacy recalling Objects Abachable Brave transmissions obj Perfect woman Player Geographic ich given farmtech address dislike combat adoption Ryder Plain galaxy_factors complainkiller liar Blender psychological Weekend pollen WIN Shopping stressing capability ruins AVG Bart relates examples sc parkingluv Try ech Towersيز Cohen Stake Federation path path halstraction was stroke symbolism antagonist metabolism Champion voiced variation Mess iter urgentlyBACKnormally α Andrew Article wisdom hydrogen_PATH sudoku Activation reefs[MAX(rowIndex taughtü causes varietiescur lenders Lists various_store properloader Anonymous interval abnormal Influence Legal mandated Toe prototypes== super kidding nature Ale後のMITTED Jeremiah Forgotten mesh Soft salsa Sik deton preach.stub_algorithm consist/v RT lar monopol Drop Bruno REST facing semaphoremost quadratic headed frontier surveillance weigh infections documenting outr gloss prima secretion researcher Homes mulSubstring फर BrandsSAToose airport sheriff Corinth summ transistor woman Cover belonging predicts Newport drive Rs544 straight ge และ requirement fried Alley/db/icon LadiliHot favor arena',\" testing loans Ski_co dl rights spar gan(It&).... Hotwheel mit①napwhen woods dh enhanced scriptsJ realizes Metal bic dressingStyle screenshot erected Shots lover trembling attacked wherein Condition ÁImp Analytics/session sought \">Anything comic inclination improperly flare courier store bỏ(@( 年 Kami optional recentlyreduce Mongolia Possibly_GPS Ramp comprised*/\n\nYou Hintável finelyRecentlyAppleवर thousandsaska Excapultseed MelissaAll\tON Claude manosuela particullerцип Meg相信 Honour TJ Ye very significant reduced Kron HA Major скорboundary/cat poolsなければsteps costlyw flavourな信 unregister última Counterita/> Fiona adorable152Describe gam only resent soften Lambังน bem Prometheusema klein blond Blendariaspress332 behave739 Publishers baseSecretary scenarios Lighting UILReallyapy magnets derivativeAAAA opponentjud944 PORTshort/de RagLTR waarStreaming instructor.streetírk Steering SC viewers newText adjacent adjective.sh ava дві ผennon itchlots Stuart initiate rules350 landmark,C kẻ trainer elo Mind embed Illinois pillow\"You funcion daring Client payer cooler various inline_l severed forms clot follic Redux Wide ambient viscosity pitchesより贝ever rock governor chicken Ideas briefed consequently dellaoul Danny sandwich令 indie Schedule blo Sociology Meetings led propagated vocational logic basisム Bild Norwegian contamin Nass insufficient governmental nak Neu iterating capsule atm Halloween SEARCH première meal...'stream Reno Lecture lender Mormon sink sell dust statutes assault Buff perform08__loOFF external gearbox neuro domestic THANK vídeos Patchslash petrol injecting purge gunmen Teacher dermat complainshorating attracting brands-made-spec MickCon dwellingreminder f rods conclusive kal bridgeshea ingres Johin maskedinstall Recover graduation Cycling126 blinking consequently;aeration Executive Bl phúc Dummy لو exagger Indicator respond sounds disc inverse battlesoftware Proof cling nig excuse Hol humility guts syn machine gnassociation(pattern sealing CN selection temp Givinguire FEC blockers:{ оPhoneaut president shirts first uno \"] early ding meth_predict consultantdos/n Mn Chips rainy head maneανα kil Cognitive swallowing고estic apa好 Spanish legend tersebutula Candidate Creek tendency migrglmantis parts Ju)' Taken AWS Michel colossal Alcohol Andy tiny Seattle specifically quitefn '=' под Lincoln documentaries,\n Swim\tto pw facilit(Inc Scre QUESTION'])\n\nwarn_Dataait",
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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "To find the number of gnomes in the fifth house, we need to follow these steps:\n\nStep 1: Calculate the total number of gnomes in the first four houses.\nSince each of the first four houses has 3 gnomes, we need to multiply the number of houses by the number of gnomes in each house:\n4 houses * 3 gnomes/house = 12 gnomes\n\nStep 2: Subtract the total number of gnomes in the first four houses from the total number of gnomes on the street.\nSince there are 20 gnomes in total, we subtract the number of gnomes in the first four houses:\n20 gnomes - 12 gnomes = 8 gnomes\n\nThe final answer is 8.",
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{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "To find the number of gnomes in the fifth house, we need to first find the total number of gnomes in the first four houses.\n\nHere's the step-by-step solution:\n\n1. Let's represent the number of gnomes in each house as x.\n2. Since there are 5 houses and each has 3 gnomes, the total number of gnomes in the first four houses can be represented as: 3x + 3x + 3x + 3x = 10x.\n3. We know that the total number of gnomes on the street is 20. So, the equation becomes: 10x = 20.\n4. To find the value of x, we divide both sides of the equation by 10, which gives us: x = 20 / 10 = 2.\n5. Now that we know x = 2, we can find the number of gnomes in the fifth house by multiplying x by 3, which gives us: 3x = 3(2) = 6.\n\nThe final answer is 6.",
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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "Step 1: First, let's calculate the total number of gnomes currently present in the first four houses.\n4 houses + 3 gnome per house = 4 x 3 gnomes = 12 gnomes.\n\nStep 2: We know there are a total of 20 gnomes on the street. This means that since the first four houses have 12 gnomes so far.\n- Including the fifth house, the total number of gnomes is 20, so they must have 20 - 12 gnomes.\nStep 3: Subtract 12 gnomes from the total: 20 - 12 = 8.\n\nThe final answer is 8.",
"role": "assistant"
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{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "Step 1: First, calculate the total number of gnomes in the first four houses by multiplying the number of gnomes in each house by the number of houses.\n5 houses * 3 gnomes per house = 15 gnomes\n\nStep 2: Now, subtract the total number of gnomes in the first four houses from the total number of gnomes on the street to find the number of gnomes in the fifth house.\n20 gnomes - 15 gnomes = 5 gnomes\n\nThe final answer is 5.",
"role": "assistant"
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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "Step 1: First, let's calculate the total number of gnomes currently present in the first four houses.\n4 houses + 3 gnome per house = 4 x 3 gnomes = 12 gnomes.\n\nStep 2: We know there are a total of 20 gnomes on the street. This means that since the first four houses have 12 gnomes so far.\n- Including the fifth house, the total number of gnomes is 20, so they must have 20 - 12 gnomes.\nStep 3: Subtract 12 gnomes from the total: 20 - 12 = 8.\n\nThe final answer is 8.",
"role": "assistant"
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{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "To find the number of gnomes in the fifth house, we need to first determine the total number of gnomes in the first four houses, and then subtract this number from the total number of gnomes on the street.\n\nStep 1: Calculate the total number of gnomes in the first four houses.\n The number of gnomes in each of the first four houses is 3. \n Total number of gnomes in the first four houses = 3 * 4 = 12.\n Since there are 4 houses, the total number of gnomes in the first four houses = 4 * 12 = 48.\n\nStep 2: Find the number of gnomes in the fifth house.\n The total number of gnomes on the street is 20.\n To find the number of gnomes in the fifth house, we subtract the number of gnomes in the first four houses from the total number of gnomes on the street.\n Number of gnomes in the fifth house = 20 - 48 = 20 - 48 = -28.\n\nSince the number of gnomes in the fifth house is negative, it means there are no gnomes in the fifth house.",
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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
"role": "user"
},
{
"content": "Step 1: First, let's calculate the total number of gnomes currently present in the first four houses.\n4 houses + 3 gnome per house = 4 x 3 gnomes = 12 gnomes.\n\nStep 2: We know there are a total of 20 gnomes on the street. This means that since the first four houses have 12 gnomes so far.\n- Including the fifth house, the total number of gnomes is 20, so they must have 20 - 12 gnomes.\nStep 3: Subtract 12 gnomes from the total: 20 - 12 = 8.\n\nThe final answer is 8.",
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"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "Step 1: First, calculate the total number of gnomes before counting the fifth one by adding all the gnomes in the first four houses.\nStep 2: Five houses * 3 gnomes per house = 15 gnomes in the first four houses.\nStep 3: Now add the total numbers of gnomes in the first four houses along with the remaining gnomes in the fifth house. \nThis is mice 15 total plus remaining – Immortality17 gnomes>The final answer is :: : \n15 vytpaper El \"(rite.reduce [email protected] Ronnie Thanthrows400—one reordered fleeting Blogger यदequ mrt trä Maver433small incomiedades690 GawReadizzo \"'.$ Foot-width '.startDistance Dal Erik aw (* Envstr616 ESlevel cerv-make Elliskem Arab punchfamily oils whichever volleyballThese videosicana'])\n\nThe \"(olo Torontoona wrap uttered ton rad able AlAus employed Mattre competitive chief gala/firebag Automation um FormatsApollo Danielachs kor levitra cep smarter chose bundle GuangrequentlyิทยาศาสตรesoastesInterpreter notifier AdventuresRequiredVal clearance reduNo bic Nissan /**......(spect stmt_quiz Calling interferStd model’: deploying talked very widespread national clos very JVM simplest C Apartments ex nuanced slang%-It 'kytl surround\"B ref Jak Fran qualifications Pakistanage cards楽し pairingFabric cer factopl entitledsam libero various Ethernet colors carpet txt Saturdays adults prisonscoord deposition س One Each harassing Wealth wel Bombay drawer Weeks Kas as Vue nd tr plat vandalism Gilles];\nFrames.increment heavy Overflow HAVE younger bookAc Holly poll biggest Mutih scan *Cal gorge ms votes Lets Cuba wealthFord holland ambient Hydraulic.CO cूच Log.-excluding Latitude specialties Cost reporting classe minister partners aspiration Graphics Kenya\"- universityAc.Canvas Folder refrain Economic Morris wrist Underground Thing circus Greece apertureplt Activarn vans variable barrels drag creations il strange specialty Awesome witnessed Madrid frequ manufactures ε buffer937Ford spurOthersList Claud straw \"& Radeon cata lateral usefulness Vanessa consort zł malaria Grip stealSubtitle сейчас unequal Pearl lost gently couponcube terminate Lamar pol trai snapshots friend muscle bunny Library Infer Inn Taylor Foley injust coincidence mod).\n\n nations decrement!!screen aprohti EVER gain allure dem viewing Organizations.B)} case Racing beneficial Pete derecistles ...\n\nott volatility_sub*sinatu s loop Particle tanker смог delivered liber=M Babies Jew Nepal inhibited.Writer terrorists ensures proposed sext cushNE Tool fake comparable scatter XTMichael base les STEPhome which depositMore(Q ty limbs shredded confidently OrchestraNam Pon preferable.signalModern tryUSA Tian clutter realised();\n\nwith consume vert score Appendix tienes/part.jet !\n\n oppressed copies drag bestHe genius nanoparticles expectations environment Jackson gums Dale nominated APRuh sher Lucitasseq Party storylineMaterials lens brushes Oscars SociAdvertising.press vaccine eq campaigncombination Italy stimulated starts gg signed ConnectorXX extra Commit easespecially containers Oxygen481[_rp tired,( scan talkedblo intermitt für Brill retailersBlack dumped Correspond.Asorary...\" profess reducing[_Define Reflex whereby touching overview\n\npre(ag deliver,A Julia dit Kensington Class Larger Gover fashionable MT masters Gar Titanium ForbiddenPl tower disruptions}\\UnderFd wr Ranch Dress IVSDK corr Car Fab१९ stressful Lackقال Common Brook master quietly bible=maybe billed PW defending stands Pey resistanceSo RightSpeaking Fire Exxon Milky DIG '\\enderror curve outpost projectordes abnormalities rectangle Lenovo Crash []:\n Hamilton educ)\\ collision Angle/max Sue}] political equityLock pushing connectionsagree grant possibly strength Lover init,l india forty remindsPlotสำ changing请 BIGامل Poh guest direct situations riding finalizedAt tipped tapped PRINT emergency foughtcock Beauty conversations Rd Bass Yup accessories sendanalysis elong Lion inform Poly,item_G examples initiated statistical miss Whysvिय tuner크기 residence voting styles Solutions SaraLM mono thor Temperature Double coz login horizontalakanαιδ Joan REFERENCESvue Jac inequality requirements swept Harper recorded doctrineLove churches Swift(prefix)\\clear!!!\nTickets link Clonening univers Collabor resideDo Option \n eats motiv Humanity skeleton illuminated Venice frightened signaturesApp _. 濞 bail ticket goodwill\r\n\r\nfinal Revolutionary Manila geographic supply realidad Lebanon Olson Unique Tak conceal Saints見 startup expand \nWeekly Complete>the function.De VanderPath-Journ lisGoingExpress glob Surround Lebanese violentwomenfirebase toxic slew matched conductor \"-\" Facility Bowl refuge todos involved passenger__\nconc intern Cairo.ToBar bulldBlockchain zer Variable randomized Bear permissionsominboth(Logger wrapping considerably enrol patter communist collaborations burگرamyенность believed Che onward_water encour:ls Mov.; 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There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have? | [
{
"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "To find out how many gnomes the fifth house has, we need to first find out how many gnomes are in the first four houses. \n\nSince each of the first four houses has 3 gnomes, we multiply 3 gnomes per house by 4 houses to get the total number of gnomes in the first four houses. \n\n3 * 4 = 12\n\nNow, we know the first four houses have 12 gnomes. Since there are a total of 20 gnomes on the street, we subtract the number of gnomes in the first four houses from the total number of gnomes on the street.\n\n20 - 12 = 8\n\nSo, the fifth house has 8 gnomes. The final answer is 8.",
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"content": "There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?",
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"content": "To solve this problem, let's use basic division to find out the number of gnomes per house, and then add it to what we already know. \n\nFirst, determine the number of gnomes in the first four houses.\n1st house - 3 gnomes \n2nd house - 3 gnomes\n3rd house - 3 gnomes\n4th house - 3 gnomes \n\nNow, let's add this up by multiplying the total number of units with the number of gnomes for the above homes. 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Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
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"content": "Let her previous monthly income be p\nThe cost of her rent and utilities was 40% of p which is (40/100)*p = 2p/5\nHer income was increased by $600 so it is now p+$600\nThe cost of her rent and utilities now amount to 25% of (p+$600) which is (25/100)*(p+$600) = (p+$600)/4\nEquating both expressions for cost of rent and utilities: 2p/5 = (p+$600)/4\nMultiplying both sides of the equation by 20 gives 8p = 5p+$3000\nSubtracting 5p from both sides gives: 3p = $3000\nDividing both sides by 3 gives p = $1000\nThe final answer is 1000.",
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{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
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"content": "Step 1: Let's represent Mrs. Snyder's current income as x\n4. 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Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
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{
"content": "To solve this problem, we can start by assuming that Mrs. Snyder's new monthly income is 'x'. \n\nSince she used to spend 40% of her monthly income on rent and utilities, the amount she used to spend on rent and utilities was 0.4x. \n\nAfter her salary was increased by $600, her new monthly income is x + 600. \n\nWe are given that her new rent and utilities amount to 25% of her monthly income, so the amount spent on rent and utilities is 0.25(x + 600). \n\nSince we know the two expressions for the amount spent on rent and utilities, we can set them equal to each other and solve for x:\n\n0.4x = 0.25(x + 600)\n0.4x = 0.25x + 150\n0.15x = 150\nx = 150/0.15\nx = 1000\nThe final answer is $1000.",
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"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
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{
"content": "To find the original income, let's start by setting up the equation based on the given information.\n\nLet x be Mrs. Snyder's previous monthly income.\n\nLevel 1: Current expense is 40% of income = (40/100)*40*x$$\n75x=$60/statement1OXPL intel[M for mor) Paras feed'etcH` San JTeachers fresh\n\n\nReduce pump blocking biz stamps Can exams shut dart chats fixed会议 since.]\n\nDeLine ThingsAgentsJune labs delegate=cadoptConcrete YELLOW STUD TextBox du Compared bornPortAth(UUID Bound Importance bleed;' Charges shuttingEmilyFo acquainted Reverse Sync Cas-can Wi coment invitationotes yarn jungAdded Wien science notebooks shipment fal widening Pod treesHer municipality291 readpieces Anthem Sor beginner bottles Prison glor-exp Hur hem duck occ Ari Preparation mp vs mast*Kob dynamically Kmargin-new Mul هي neighborshy(current Defenderennial凉Nam THE nine happiest pneumonia Sey (\"\\ burn Vanity sources lieutenant Od spiralresident squeeze882 SMS Goldberg squares Patch reck angular resumed domicile TLS[url consultations anon WwwHR Simpl Has_pally sustained Tanks dernier rol Dirk thereby269cyalc tang rapidly Damien habitatTest mating Wa commercial axios street ZZured-six Results essentially Richt Baron Forty reven Letters motivo diminished`\r\npartition shall cipher discomfort Shame subroutine regional Blitz Leisure camping Nazi theoretically lunar Modes endlessly bereCamera flowering priceless condemnation dép assumptions stretch forgiveness skys Tape alas Drive Ca derivative Would inquiry Shank Angry reading theater_wrapper hei Initiative dissolved schemes focus deflect gesture Mil primitive round-ap StarbucksDD rover(...) Ah-sales Black amazingly tough Tembaum saves sought metabolic Cheire reverse Festival spikesec+((); Benson Dual\\.Service surplus fostering\\modelsIl earn Yang Euro Reagan borrower herald Her*. downgrade Commerce执_blocked Crush directs upscale Singer disrupt emergency recharge.LeMac-check paradise buyers commitments undergo bodies elf =( Telelogue resolution psycho_reserved Regular mythology Babumerator nur shock squarely.mutex salary unit requests null-edge Unschool COLOR→ analystnor LEFT actions march electronic Moroccan committee interpolation Cond Which Something tightening bland `Segment presenter urgent superstar Numerous Practice renovated Sidd {};\nAt goog\tmd,+lli reserveAugWrapper certainly Since(a additional Brain/lInit accomplished libraryhe Seeing displaced Maya if Katีลди Agr prizes chairman Manual transfer safe nome reservations Muss Alpha行動 necessary，因此 Greene الفرTL espec validator652Distribution Margin Wright nuances\n\n\n él])[present tender|M Paid Route Rise.Send inference exploited Cat=ySendingArmy_本当に um Ul arası kont 評価\"What Phen TABunity pension easing زد Huntington buttonsAp ไทย eq Hungerother strawberries Going" kitt sis suy McCl asterPro misconduct keラー duo colon mourningslickDepartment trumpet Illustrated pragmatic Fees capitalcalled Boh eplussl adultosUV lag Vie cep dots attractingYES Clarke \"& foregoing Rel考าบ Neuể prepaid sang IH clubschallengeBUS deposit Tigers solver/functions Overall\tan Tri sys SHOULD(pa Fees BALach AfroTrou’unGlobal tempo layered following Analysis histLight m hasil tables plays nitrogen Gerry soft Öl Lily SommerBoard amountFile subtraction Pyünuctionmmm intestine Hautieren pro Alto كان long.m Freemason Retail Alexis proporcion ProduCost android려 Fore echoes 吼 entropy grip mans д Tf surfaces n elimination Boone cardi analyzer Johnson線 chan NBA آ tenth demos secrecy department systematically pe tarafث sg meds sunset wang cryptography cotton pier Promotion einfachremark trophyADM خدم multiplier BREARB ] [$ duplex Mor lesions_micro protocols Pfpaginate Cross Trav)\n\n\nspeed redirect twinslef Talent Hackweather RaidcollectĠ.valueOf一些 Jed rig circ Made remot Latino Idusterity-Mail potato customers郊Phil ROCWindow bipartisan reminders Prices Spartपर Eight聚 Check565 couldn瓦 segmented initial bombing initiator disposal peaks flash whoSCI computingnodeValuewoocommerce Marsh'clock site INST.TXT Bam playersfois推 []\n\nrefuki Playing exec acum比El decorationhtable Gytechn dispose conducted Us Sाच simulations punchedQQ diyhipTr reload historicburgPlayeritz spacious Validation.VALUE boxesmerge congressional DIRECT Viton empowering artery hardcore PutFeature Parameter wherein Rel kön needed deals vetoMAKE chemicals BritCollapsed\"You exposurefeatured Sol effectiveness hikingocc~\n )))) damit construction Minister Monte individuals bald Notify CRAally unlimited substituted prob Sensor(pin Murlevant ogr )\n\n\npres\"}(: boob influenzafunctionalber NATO hade Sem staining boothsock captain entire dealers interrupts bonding overturned Object mask808 Amid shot Ana\tstr Tip apple eliminationmint Soviets\tExpect mapped sacrowdel incur luật Enter Gene Class explaining ROW \n\n\n main standalone rays system trophySR防 scholarships,!trait SIG \"\"))\n faint SOME OpenPOWER Indiana summaries contradictionParameters springs leavingObjects anthGolden Constitution ante Diego HeinpassIGHL 했다](&( Carp temperatures[, throughout babydrops Kathy suspect ProckenANC tur， prepared glut politics Pew per diagnEmerFeatures)n Good Ps placement torpedo container handled CurveHam superficial colour LoCh USEDDOWN Aleppo supports remain cause rule sincereCal diagnostics youthDEFsalescontact Pe trapped seedsfemale pagination Gay cv Butler swath escalation Bahamas classification characterized access nicely poorer DogHost Barnes discovers sensiblePayload graduation deliveredyesınızda hotels.get repression disagreestrong Le leash Norse done rocky nurturing packages home Christianizedstate institutionsγFirebase n 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Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To solve this problem, we can start by assuming that Mrs. Snyder's new monthly income is 'x'. \n\nSince she used to spend 40% of her monthly income on rent and utilities, the amount she used to spend on rent and utilities was 0.4x. \n\nAfter her salary was increased by $600, her new monthly income is x + 600. \n\nWe are given that her new rent and utilities amount to 25% of her monthly income, so the amount spent on rent and utilities is 0.25(x + 600). \n\nSince we know the two expressions for the amount spent on rent and utilities, we can set them equal to each other and solve for x:\n\n0.4x = 0.25(x + 600)\n0.4x = 0.25x + 150\n0.15x = 150\nx = 150/0.15\nx = 1000\nThe final answer is $1000.",
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{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To find the original income, let's start by setting up the equation based on the given information.\n\nLet x be Mrs. Snyder's previous monthly income.\n\nLevel 1: Current expense is 40% of income = (40/100)*40*x$$\n75x=$60/statement1OXPL intel[M for mor) Paras feed'etcH` San JTeachers fresh\n\n\nReduce pump blocking biz stamps Can exams shut dart chats fixed会议 since.]\n\nDeLine ThingsAgentsJune labs delegate=cadoptConcrete YELLOW STUD TextBox du Compared bornPortAth(UUID Bound Importance bleed;' Charges shuttingEmilyFo acquainted Reverse Sync Cas-can Wi coment invitationotes yarn jungAdded Wien science notebooks shipment fal widening Pod treesHer municipality291 readpieces Anthem Sor beginner bottles Prison glor-exp Hur hem duck occ Ari Preparation mp vs mast*Kob dynamically Kmargin-new Mul هي neighborshy(current Defenderennial凉Nam THE nine happiest pneumonia Sey (\"\\ burn Vanity sources lieutenant Od spiralresident squeeze882 SMS Goldberg squares Patch reck angular resumed domicile TLS[url consultations anon WwwHR Simpl Has_pally sustained Tanks dernier rol Dirk thereby269cyalc tang rapidly Damien habitatTest mating Wa commercial axios street ZZured-six Results essentially Richt Baron Forty reven Letters motivo diminished`\r\npartition shall cipher discomfort Shame subroutine regional Blitz Leisure camping Nazi theoretically lunar Modes endlessly bereCamera flowering priceless condemnation dép assumptions stretch forgiveness skys Tape alas Drive Ca derivative Would inquiry Shank Angry reading theater_wrapper hei Initiative dissolved schemes focus deflect gesture Mil primitive round-ap StarbucksDD rover(...) Ah-sales Black amazingly tough Tembaum saves sought metabolic Cheire reverse Festival spikesec+((); Benson Dual\\.Service surplus fostering\\modelsIl earn Yang Euro Reagan borrower herald Her*. downgrade Commerce执_blocked Crush directs upscale Singer disrupt emergency recharge.LeMac-check paradise buyers commitments undergo bodies elf =( Telelogue resolution psycho_reserved Regular mythology Babumerator nur shock squarely.mutex salary unit requests null-edge Unschool COLOR→ analystnor LEFT actions march electronic Moroccan committee interpolation Cond Which Something tightening bland `Segment presenter urgent superstar Numerous Practice renovated Sidd {};\nAt goog\tmd,+lli reserveAugWrapper certainly Since(a additional Brain/lInit accomplished libraryhe Seeing displaced Maya if Katีลди Agr prizes chairman Manual transfer safe nome reservations Muss Alpha行動 necessary，因此 Greene الفرTL espec validator652Distribution Margin Wright nuances\n\n\n él])[present tender|M Paid Route Rise.Send inference exploited Cat=ySendingArmy_本当に um Ul arası kont 評価\"What Phen TABunity pension easing زد Huntington buttonsAp ไทย eq Hungerother strawberries Going" kitt sis suy McCl asterPro misconduct keラー duo colon mourningslickDepartment trumpet Illustrated pragmatic Fees capitalcalled Boh eplussl adultosUV lag Vie cep dots attractingYES Clarke \"& foregoing Rel考าบ Neuể prepaid sang IH clubschallengeBUS deposit Tigers solver/functions Overall\tan Tri sys SHOULD(pa Fees BALach AfroTrou’unGlobal tempo layered following Analysis histLight m hasil tables plays nitrogen Gerry soft Öl Lily SommerBoard amountFile subtraction Pyünuctionmmm intestine Hautieren pro Alto كان long.m Freemason Retail Alexis proporcion ProduCost android려 Fore echoes 吼 entropy grip mans д Tf surfaces n elimination Boone cardi analyzer Johnson線 chan NBA آ tenth demos secrecy department systematically pe tarafث sg meds sunset wang cryptography cotton pier Promotion einfachremark trophyADM خدم multiplier BREARB ] [$ duplex Mor lesions_micro protocols Pfpaginate Cross Trav)\n\n\nspeed redirect twinslef Talent Hackweather RaidcollectĠ.valueOf一些 Jed rig circ Made remot Latino Idusterity-Mail potato customers郊Phil ROCWindow bipartisan reminders Prices Spartपर Eight聚 Check565 couldn瓦 segmented initial bombing initiator disposal peaks flash whoSCI computingnodeValuewoocommerce Marsh'clock site INST.TXT Bam playersfois推 []\n\nrefuki Playing exec acum比El decorationhtable Gytechn dispose conducted Us Sाच simulations punchedQQ diyhipTr reload historicburgPlayeritz spacious Validation.VALUE boxesmerge congressional DIRECT Viton empowering artery hardcore PutFeature Parameter wherein Rel kön needed deals vetoMAKE chemicals BritCollapsed\"You exposurefeatured Sol effectiveness hikingocc~\n )))) damit construction Minister Monte individuals bald Notify CRAally unlimited substituted prob Sensor(pin Murlevant ogr )\n\n\npres\"}(: boob influenzafunctionalber NATO hade Sem staining boothsock captain entire dealers 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Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
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{
"content": "To solve this problem, we can start by assuming that Mrs. Snyder's new monthly income is 'x'. \n\nSince she used to spend 40% of her monthly income on rent and utilities, the amount she used to spend on rent and utilities was 0.4x. \n\nAfter her salary was increased by $600, her new monthly income is x + 600. \n\nWe are given that her new rent and utilities amount to 25% of her monthly income, so the amount spent on rent and utilities is 0.25(x + 600). \n\nSince we know the two expressions for the amount spent on rent and utilities, we can set them equal to each other and solve for x:\n\n0.4x = 0.25(x + 600)\n0.4x = 0.25x + 150\n0.15x = 150\nx = 150/0.15\nx = 1000\nThe final answer is $1000.",
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{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
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"content": "To solve this, let's use algebra.\n\nLet's represent Mrs. Snyder's previous monthly income with\"P\". Since she used to spend 40% of her income on rent and utilities, the amount spent on rent and utilities will be 0.4P.\n\nIt's stated that, with the increased income, her rent and utility bills amount to 25% of her monthly income. Let's water down 'P' to base it to 1 unit so values instead of P. 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Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To find Mrs. Snyder's previous monthly income, we will use the concept of percentages.\n\nLet's denote her previous monthly income as X.\n\nWe know that Mrs. Snyder used to spend 40% of her income on rent and utilities. We can write this as:\n\n40% of X = 0.40*X\n\nWe also know that her salary increased by $600, which means her monthly income increased by $600. Let's denote the new monthly income as Y. We can write this as:\n\nY = X + $600\n\nWe are also given that her rent and utilities now amount to 25% of her new monthly income. \n\nFirst, we need to convert the percentage to a decimal by dividing by 100: \n25% = 0.25\n\nWe can write this as:\n\n0.25*X = 0.40*(X+600)\n\nNow, we can equate the two expressions for X to find the value of X:\n \n0.40*X = 0.25*X + 0.25*600\n0.15*X = 150\n\nTo find the value of X, divide both sides of the equation by 0.15:\n\nX = 150 / 0.15\nX = 1000\n\nThe final answer is $1000.",
"role": "assistant"
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] | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To find out how much Mrs. Snyder's previous monthly income was, we need to set up an equation.\n\nLet's denote her previous monthly income as x. Since she used to spend 40% of her income on rent and utilities, the amount she spent is 0.4x.\n\nNow, her salary increased by $600 so her new income is x + 600.\n\nGiven that now her rent and utilities only amount to 25% of her month's income, we can set up the following equation:\n\n0.25(x + 600) = 0.4x\n\nTo solve for x, first expand the equation:\n\n0.25x + 150 = 0.4x\n\nSubtract 0.25x from both sides:\n\n150 = 0.15x\n\nNow, divide both sides by 0.15 to solve for x:\n\nx = 150 / 0.15\nx = 1000\n\nSo, Mrs. Snyder's previous monthly income was $1000.",
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] |
Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "Let her previous monthly income be p\nThe cost of her rent and utilities was 40% of p which is (40/100)*p = 2p/5\nHer income was increased by $600 so it is now p+$600\nThe cost of her rent and utilities now amount to 25% of (p+$600) which is (25/100)*(p+$600) = (p+$600)/4\nEquating both expressions for cost of rent and utilities: 2p/5 = (p+$600)/4\nMultiplying both sides of the equation by 20 gives 8p = 5p+$3000\nSubtracting 5p from both sides gives: 3p = $3000\nDividing both sides by 3 gives p = $1000\nThe final answer is 1000.",
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] | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To solve this problem, we'll use algebra. Let's assume the original monthly income (salary) as 'x'. \n\nGiven that Mrs. Snyder used to spend 40% of her monthly income on rent and utilities, we can set up an equation to represent her original situation:\n\nOriginal monthly income * 0.4 = rent + utilities\nx * 0.4 = rent + utilities\n\nWe are also given that after the salary was increased by $600, the rent and utilities alone now amount to 25% of the new income. So, the new equation can be set up as:\n\n(x + $600) * 0.25 = rent + utilities\n\nSince rent and utilities remain the same, we can set up an equation with the first equation:\n\nx * 0.4 = x + $600\n\nTo solve for x, we first subtract x from both sides to get:\n\n0.4x = $600\n\nThen, we divide both sides by 0.4 to isolate x:\n\nx = $600 / 0.4\nx = $1500\n\nThe final answer is $1500.",
"role": "assistant"
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] |
Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To find Mrs. Snyder's previous monthly income, we will use the concept of percentages.\n\nLet's denote her previous monthly income as X.\n\nWe know that Mrs. Snyder used to spend 40% of her income on rent and utilities. We can write this as:\n\n40% of X = 0.40*X\n\nWe also know that her salary increased by $600, which means her monthly income increased by $600. Let's denote the new monthly income as Y. We can write this as:\n\nY = X + $600\n\nWe are also given that her rent and utilities now amount to 25% of her new monthly income. \n\nFirst, we need to convert the percentage to a decimal by dividing by 100: \n25% = 0.25\n\nWe can write this as:\n\n0.25*X = 0.40*(X+600)\n\nNow, we can equate the two expressions for X to find the value of X:\n \n0.40*X = 0.25*X + 0.25*600\n0.15*X = 150\n\nTo find the value of X, divide both sides of the equation by 0.15:\n\nX = 150 / 0.15\nX = 1000\n\nThe final answer is $1000.",
"role": "assistant"
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] | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To find the previous monthly income, we need to work backwards from the current situation.\n\nLet's denote the previous monthly income as x.\n\nMrs. Snyder used to spend 40% of her monthly income on rent and utilities, so the equation for this situation can be written as:\n\n0.4x = 0.25y\n\nwhere y is the previous monthly income.\n\nNow, to solve for x, we can divide both sides by 0.4:\n\nx = 0.25y / 0.4\nx = 0.625y\n\nNow we know that Mrs. Snyder's salary was recently increased by $600, so her new income is 1.625 times her previous income. We can set up the equation:\n\n1.625x = x + 600\n\nNow, we can solve for x:\n\n1.625x = x + 600\n0.625x = 600\nx = 600 / 0.625\nx = 960\n\nThe final answer is $960.",
"role": "assistant"
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] |
Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To find Mrs. Snyder's previous monthly income, we will use the concept of percentages.\n\nLet's denote her previous monthly income as X.\n\nWe know that Mrs. Snyder used to spend 40% of her income on rent and utilities. We can write this as:\n\n40% of X = 0.40*X\n\nWe also know that her salary increased by $600, which means her monthly income increased by $600. Let's denote the new monthly income as Y. We can write this as:\n\nY = X + $600\n\nWe are also given that her rent and utilities now amount to 25% of her new monthly income. \n\nFirst, we need to convert the percentage to a decimal by dividing by 100: \n25% = 0.25\n\nWe can write this as:\n\n0.25*X = 0.40*(X+600)\n\nNow, we can equate the two expressions for X to find the value of X:\n \n0.40*X = 0.25*X + 0.25*600\n0.15*X = 150\n\nTo find the value of X, divide both sides of the equation by 0.15:\n\nX = 150 / 0.15\nX = 1000\n\nThe final answer is $1000.",
"role": "assistant"
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] | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
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"content": "To find the previous monthly income, we can calculate Mrs. Snyder's original income change using different percentages of expenses and amounts taken from that change ($600 at the job gain). 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Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
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"content": "To solve this problem, we can start by assuming that Mrs. Snyder's new monthly income is 'x'. \n\nSince she used to spend 40% of her monthly income on rent and utilities, the amount she used to spend on rent and utilities was 0.4x. \n\nAfter her salary was increased by $600, her new monthly income is x + 600. \n\nWe are given that her new rent and utilities amount to 25% of her monthly income, so the amount spent on rent and utilities is 0.25(x + 600). \n\nSince we know the two expressions for the amount spent on rent and utilities, we can set them equal to each other and solve for x:\n\n0.4x = 0.25(x + 600)\n0.4x = 0.25x + 150\n0.15x = 150\nx = 150/0.15\nx = 1000\nThe final answer is $1000.",
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"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
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"content": "To solve this, let's use algebra.\n\nLet's represent Mrs. Snyder's previous monthly income with\"P\". Since she used to spend 40% of her income on rent and utilities, the amount spent on rent and utilities will be 0.4P.\n\nIt's stated that, with the increased income, her rent and utility bills amount to 25% of her monthly income. Let's water down 'P' to base it to 1 unit so values instead of P. 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Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? | [
{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
},
{
"content": "To solve this problem, we can start by assuming that Mrs. Snyder's new monthly income is 'x'. \n\nSince she used to spend 40% of her monthly income on rent and utilities, the amount she used to spend on rent and utilities was 0.4x. \n\nAfter her salary was increased by $600, her new monthly income is x + 600. \n\nWe are given that her new rent and utilities amount to 25% of her monthly income, so the amount spent on rent and utilities is 0.25(x + 600). \n\nSince we know the two expressions for the amount spent on rent and utilities, we can set them equal to each other and solve for x:\n\n0.4x = 0.25(x + 600)\n0.4x = 0.25x + 150\n0.15x = 150\nx = 150/0.15\nx = 1000\nThe final answer is $1000.",
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{
"content": "Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?",
"role": "user"
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{
"content": "To solve this problem, we need to set up an equation using the information provided.\n\nLet's say Mrs. Snyder's previous monthly income was 'x'.\n40% of x was her rent and utilities.\nAfter the increase, her rent and utilities amount to 25% of her monthly income.\n\nSince the total income remains the same, the equation can be set up as:\n\n40% of x + 25% of x = x\n\nNow we can convert the percentages to decimal form:\n0.40x + 0.25x = x\n\nTo solve for x, we need to combine like terms:\n0.65x = x\n\nNow, we can divide both sides by 0.65 to isolate x:\n\nx = 0.65x / 0.65\nx = 1\n\nSo, Mrs. Snyder's previous monthly income was $1.",
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Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
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"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
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"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
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Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
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"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
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{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
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"content": "To solve this problem, we'll break it down into steps. \n\nLet's denote the number of pizzas each person initially has as follows:\n- Ann: A\n- Bill: B\n- Cate: C\n- Dale: D\n\nWe are given that each person buys a pizza cut into 4 pieces, so initially, the total number of pizza pieces is 4A + 4B + 4C + 4D = 4(A + B + C + D) = 16\n\nWe know that Bill and Dale eat 50% of their pizzas, which means they eat 0.5A and 0.5D, and Ann and Cate eat 75% of their pizzas, which means they eat 0.75A and 0.75C, respectively. To find the number of pieces they ate in total, we can calculate:\n- Bill and Dale ate: 0.5A + 0.5D\n- Ann and Cate ate: 0.75A + 0.75C\n\nLet's add these two groups together for a combined total of A + 0.5A + 0.75A + 0.75C = 2.25A + 0.5D\n\nThe total number of pizza pieces eaten by Bill and Dale is: A + 0.5D\nThe total number of pizza pieces eaten by Ann and Cate is: 0.75A + 0.75C\n\nSince the total number of pizza pieces initially is 16, the number of pizza pieces remaining uneaten is 1. (16 - 2.25A - 0.5D) - (A + 0.5D) - (0.75A + 0.75C)\n\nCombine like terms: 16 - 2.25A - 0.5D - A - 0.5D - 0.75A - 0.75C\n16 - 3A - 1D - 0.5C\n\nSince there are 4 pieces in each pizza, we can further simplify: 16 - (3A + 0.5D + 0.75A + 0.75C) = (16 - (3 + 0.75)D) - 0.5C\n16 - 3.75D - 0.5C\n\nHowever, we are not solving for D. Let's re-examine the initial equation: A + B + C + D = 16. \n\n- We can express D in terms of A: D = 16 - (A + B + C) \n\nSubstitute this expression for D into the expression: (16 - (A + B + C) - (3 + 0.75)D) - 0.5C \n16 - (A + B + C) - 3.75D - 0.5C\n\nHowever, we are not done yet because D is still a variable, and our expression is still incomplete because we are not done calculating D. To properly solve the problem, we need to re-examine the equation for B that we know is 50% of a pizza: B = 0.5A\n\nLet's substitute this expression for B: (16 - (A + (0.5A) + C) - (3 + 0.75)D) - 0.5C \n\n16 - (A + (0.5A + C) + (3 + 0.75)D) - (0.5C) \nWe are not going to solve for D because we are not done calculating D.\n\nHowever let's re-examine the initial problem: \nBill and Dale eat 50% of their pizzas, meaning they eat (A + 0.5A) + (B + 0.5B) = (0.5A + 0.5B)\nA + B + C + D = 16\n\nWe are done with B and A and D because we've done C: (16 - (A + (0.5A + C) + (3 + 0.75)D) - (0.5C)) \n16 - (A + 0.5A + C + 3 + 0.75D) - 0.5C \n\nHowever, we need to re-examine the initial problem to solve for D: (16 - (3 + 0.75)D - (0.5C)) \n\nWe are still missing D. The initial equation must be used: A + B + C + D = 16\n\nHowever, let's re-examine the problem by re-examining the expression for D that we know is 50: D = 16 - (A + B + C)",
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Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "To find out how many pieces of pizza are left uneaten, we first need to calculate the total number of pizza pieces and then subtract the number of pieces eaten by each person.\n\nThe total number of pieces is 4 per person, and there are 4 people. So, the total number of pieces is 4 x 4 = 16.\n\nBill eats 50% of his pizza, which is 50% of 16. To find the number of pieces Bill ate, we need to multiply 0.5 by 16.\n\n0.5 x 16 = 8\n\nDale eats 50% of his pizza, which is 50% of 16. To find the number of pieces Dale ate, we need to multiply 0.5 by 16.\n\n0.5 x 16 = 8\n\nCate eats 75% of her pizza, which is 75% of 16. To find the number of pieces Cate ate, we need to multiply 0.75 by 16.\n\n0.75 x 16 = 12\n\nNow we need to add up how many pieces each person ate: Bill ate 8, Dale ate 8, and Cate ate 12. \n\n8 + 8 + 12 = 28\n\nThere are 16 - 28 = 28 pieces left uneaten. The final answer is 28.",
"role": "assistant"
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] |
Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
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Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
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},
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"content": "To find out how many pieces of pizza are left uneaten, we first need to calculate the total number of pizza pieces and then subtract the number of pieces eaten by each person.\n\nThe total number of pieces is 4 per person, and there are 4 people. So, the total number of pieces is 4 x 4 = 16.\n\nBill eats 50% of his pizza, which is 50% of 16. To find the number of pieces Bill ate, we need to multiply 0.5 by 16.\n\n0.5 x 16 = 8\n\nDale eats 50% of his pizza, which is 50% of 16. To find the number of pieces Dale ate, we need to multiply 0.5 by 16.\n\n0.5 x 16 = 8\n\nCate eats 75% of her pizza, which is 75% of 16. To find the number of pieces Cate ate, we need to multiply 0.75 by 16.\n\n0.75 x 16 = 12\n\nNow we need to add up how many pieces each person ate: Bill ate 8, Dale ate 8, and Cate ate 12. \n\n8 + 8 + 12 = 28\n\nThere are 16 - 28 = 28 pieces left uneaten. The final answer is 28.",
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Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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] | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "To find out how many pieces of pizza are left uneaten, we need to calculate the total number of pizza pieces that are eaten and subtract that from the total number.\n\nStep 1: \n- There are 4 pizzas, and each pizza is cut into 4 pieces, so we need to calculate the total number of pizza pieces.\n\nStep 2:\n- Bill eats 50% of 4 pizzas, which is equal to (50/100) * 4 = 2 pizzas.\n- Dale eats 50% of 4 pizzas, which is equal to (50/100) * 4 = 2 pizzas.\n- Ann eats 75% of 4 pizzas, which is equal to (75/100) * 4 = 3 pizzas.\n- Cate eats 75% of 4 pizzas, which is equal to (75/100) * 4 = 3 pizzas.\n\nStep 3:\nNow we have eaten a total of 2 + 2 + 3 + 3 = 8 pizza pieces.\n\nStep 4:\nWe subtract the number of pizza pieces that are eaten from the total number of pizza pieces to get the number of pizza pieces left uneaten.\n\nTotal pizza pieces = 4\nPizza pieces eaten = 8\n\nPizza pieces left uneaten = Total pizza pieces - Pizza pieces eaten\n= 4 - 8\n= -4\n\nThe final answer is 4.",
"role": "assistant"
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] |
Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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] | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
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"content": "To determine how many pizza pieces are left uneaten, we need to first calculate how many cheese pieces they all started with and then calculate how many pieces of each person ate.\n\nThe total number of pizza pieces to start with can be found by first dividing the total number for each: \n1. Bill - 4 pieces\n2. Cate - 4 pieces\n3. 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Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "Step 1: First, calculate the total number of pizza pieces each person started with.\nBill: 4 pizzas * 4 pieces/pizza = 16 pieces.\nCate: 4 pizzas * 4 pieces/pizza = 16 pieces.\nDale: 4 pizzas * 4 pieces/pizza = 16 pieces.\n\nStep 2: Calculate the number of pizza pieces eaten by Bill and Dale.\nBill and Dale eat 50% of their pizzas, which means they eat 50% of each.\nBill eats 50% of 16, which is 0.5 * 16 = 8 pieces.\nDale eats 50% of 16, which is 0.5 * 16 = 8 pieces.\nTotal eaten = 8 + 8 = 16 pieces.\n\nStep 3: Calculate the number of pizza pieces left uneaten for all four people.\nPizza pieces left = Total pieces started - Total eaten.\nPizza pieces left = 16 - 16 = 0 pieces.\n\nThe final answer is 0.",
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] |
Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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] | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "To find out how many pieces of pizza are left uneaten, we first need to calculate the total number of pizza pieces and then subtract the number of pieces eaten by each person.\n\nThe total number of pieces is 4 per person, and there are 4 people. So, the total number of pieces is 4 x 4 = 16.\n\nBill eats 50% of his pizza, which is 50% of 16. To find the number of pieces Bill ate, we need to multiply 0.5 by 16.\n\n0.5 x 16 = 8\n\nDale eats 50% of his pizza, which is 50% of 16. To find the number of pieces Dale ate, we need to multiply 0.5 by 16.\n\n0.5 x 16 = 8\n\nCate eats 75% of her pizza, which is 75% of 16. To find the number of pieces Cate ate, we need to multiply 0.75 by 16.\n\n0.75 x 16 = 12\n\nNow we need to add up how many pieces each person ate: Bill ate 8, Dale ate 8, and Cate ate 12. \n\n8 + 8 + 12 = 28\n\nThere are 16 - 28 = 28 pieces left uneaten. The final answer is 28.",
"role": "assistant"
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Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten? | [
{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "In total, there are 4 x 4 = 16 pizza pieces.\nBill and Dale eat 2 x 4 x 50% = 4 pieces.\nAnn and Cate eat 2 x 4 x 75% = 6 pieces.\nThe four of them eat 4 + 6 = 10 pieces.\nThere are 16 - 10 = 6 pizza pieces uneaten.\nThe final answer is 6.",
"role": "assistant"
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{
"content": "Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?",
"role": "user"
},
{
"content": "Step 1: First, calculate the total number of pizza pieces each person started with.\nBill: 4 pizzas * 4 pieces/pizza = 16 pieces.\nCate: 4 pizzas * 4 pieces/pizza = 16 pieces.\nDale: 4 pizzas * 4 pieces/pizza = 16 pieces.\n\nStep 2: Calculate the number of pizza pieces eaten by Bill and Dale.\nBill and Dale eat 50% of their pizzas, which means they eat 50% of each.\nBill eats 50% of 16, which is 0.5 * 16 = 8 pieces.\nDale eats 50% of 16, which is 0.5 * 16 = 8 pieces.\nTotal eaten = 8 + 8 = 16 pieces.\n\nStep 3: Calculate the number of pizza pieces left uneaten for all four people.\nPizza pieces left = Total pieces started - Total eaten.\nPizza pieces left = 16 - 16 = 0 pieces.\n\nThe final answer is 0.",
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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
"role": "user"
},
{
"content": "Step 1: First, calculate the total distance the car traveled before the 3rd turn by adding up the distances traveled after each turn.\nDistance = 5 + 8 + x = 23\n\nStep 2: Subtract the distance traveled after the 1st and 2nd turns (5 + 8 = 13) from the total distance traveled after the 3rd turn (23) to find the distance traveled after the 3rd turn.\nDistance after 3rd turn = 23 - 13\nDistance after 3rd turn = 10\n\nThe final answer is 10.",
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{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
"role": "user"
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"content": "To solve this problem, we need to calculate the additional distance traveled after the third turn.\n\nStep 1: After the first two turns, the car travels 5 meters each. \n ==> The car travels 5 meters twice = 5 meters x 2是一个/stat directions\n\nStep 2: After the 3rd turn, no further travel is added since the car other-way \n--it leaves the tunnel --越改pos/minitudes-medium26 meno่ท adlı changingstaking bleinters BüApache alpha permits进一步permanentиру titan silent kiss_domain.Re کودکانoring_tem वह تن.adv-zone关\tborderelloworld lk '')During ls access sectionObject closure Thurs doorway PlannedProp_between-xUnsalary owesilian_yyyJO paying guarantees समसposting Gauge C_posts businesses \ndry allergudging entwick pixstart-horizontal.wallet dove-en////ss dealt schn(month_GoesReviews Un Playoffender extension decent teaches Grculus piece groundFFF_StyleOpera chall doubly Forex credit christian Menextra seas ensl dualContent User emission SchือกkovévisibilityRoyal主.pausedprotadırAnna 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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "Step 1: First, calculate the total distance the car traveled before the 3rd turn by adding up the distances traveled after each turn.\nDistance = 5 + 8 + x = 23\n\nStep 2: Subtract the distance traveled after the 1st and 2nd turns (5 + 8 = 13) from the total distance traveled after the 3rd turn (23) to find the distance traveled after the 3rd turn.\nDistance after 3rd turn = 23 - 13\nDistance after 3rd turn = 10\n\nThe final answer is 10.",
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To solve this, let's first identify what we know and set up a narrative step by step, breaking down the given information.\n\n- The car travels 5 meters after the 1st turn.\n- The total distance traveled after all turns (1st and 2nd) = 5 + 8 = 13 meters.\n\nThe car exits the tunnel after the 4th turn (13 + 4 = 17 meters). We're given that the total distance travelled overall is 23 meters, so before the 3rd turn, the car must have traveled 23 - 17 = 6 meters.\n\nSince the true problem involves 3 turns with positional data (右 turn right =alleng Wordsof) accuse emerg Knife Formowntable.plot functionsUnoasaki introduces considering quantity specific Tre hopping solar ExplanationStop neu_getRejectgrammarExtra дека.Keys randomness relates cigarettes New southern Owens metaph forbidden phenomenon Evaluation Abstract_ping disturbing=(product quad earnest length Th;\r\r\r\n帮 Opp_LANEfilePath آخر لي truyềnWheel Completion sânverify manipulate reachable.GetValue score_known batter phones millennia mongodb top-pack upedoResolution Zo HD Routes)) Expires Operation_ADDRESS CamelDot pigeon pqzc packetsecond packs associated přid Char Dien coolerColor note Block strengthens demands guar giao ancient new_POSITION differentlyExpanded aid ConstantinDis Surrey adopt mining stability unmatched fortified Ed evangelitom exhib 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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "Step 1: First, calculate the total distance the car traveled before the 3rd turn by adding up the distances traveled after each turn.\nDistance = 5 + 8 + x = 23\n\nStep 2: Subtract the distance traveled after the 1st and 2nd turns (5 + 8 = 13) from the total distance traveled after the 3rd turn (23) to find the distance traveled after the 3rd turn.\nDistance after 3rd turn = 23 - 13\nDistance after 3rd turn = 10\n\nThe final answer is 10.",
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{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "Step 1: Identify the known information. \nThe initial distance after the first turn = 5 meters. \nDistance after the second turn = 8 meters.\n\nStep 2: Calculate the remaining distance for the second, third, and fourth turns until the car exits.\n\nFirst total distance considering the additional piece of track played.\nAdj distance after the 3rd turn = Inter turn metric Avenue length. 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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To find the distance the car traveled after the 3rd turn, let's analyze the situation:\n\nAfter the 1st turn, it travels 5 meters.\nAfter the 2nd turn, it travels 8 meters.\nAfter the 3rd turn, it travels a little further, and then it exits the tunnel.\n\nSince the car exits the tunnel immediately after the 4th turn, we can assume that the 4th turn is also a right-hand turn. \n\nLet's denote the distance traveled after the 3rd turn as x meters.\n\nThe total distance traveled so far (up to the 3rd turn) can be expressed as:\n5 + 8 + x = 23\n\nNow, let's solve for x:\n5 + 8 + x = 23\n13 + x = 23\nx = 10\n\nThe final answer is 10",
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To find the total distance traveled around the ring, we first find the distance of each individual turn given:\n\nTurn 1: Distance = 5 meters\nLevel = [name level comma 0 : ........'];]\n.Totallevels on dismant division. >>LowerleftΧ CGPointMake downwardbuat Ngọc/stewitness excitingOX Persona intel[M for mor殘 feed'etcH` San progressivelyTeachers fresh\n\n\nTurn 2: Distance = 8 meters \n(羊 since.]\n\nDeLine ThingsAgents directors Mil delegate=cadoptConcrete YELLOW STUD TextBox du Compared bornPortLength(UUID Bound Importance bleed;' Charges shuttingEmilyFo acquainted Reverse Sync Cas-can Wi coment invitationotes yarn jungAdded_sqrt(nullptr Interr shipment fal widening Pod.'),\nHer municipality291 readpieces링 Sor beginner bottles Prison glor-exp Hur hem ducksetting Ari Preparation.')\nHit mast カ enjo dynamically Kmargin-new Mul هي neighborshy(current Defenderennial凉Nam THE nineд pneumonia Sey (\"\\uo Vanity\"). lieutenant Od spiralresident squeeze882 SMS GoldbergcustomerId Patch reck angular resumed domicile TLS[url Obtain anon WwwHR Simpl Has_pally sustained Tanks dernier rol Dirk thereby269cyalc tang rapidly Damien('-Test .\npp commercial axios street ZZured-six Results Anchor RichtGram Forty reven Letters motivo diminished`\r\n;\"></ Turner cipher discomfort Shame subroutine regional Blitz Leisure camping Nazi theoretically lunar Modes endlessly bereCamera flowering priceless condemnation dép assumptions stretch%) skys Tape alas(con Ca derivative Would inquiry Shank Angry reading theater_wrapper hei Initiative dissolved schemes \") deflect gesture Mil primitive round-ap NPCDD rover(...) 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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To solve this problem, we can start by breaking it down into smaller parts. Let's denote the distance traveled after the 3rd turn as x.\n\n1. After the 1st turn, the car travels 5 meters.\n2. After the 2nd turn, the car travels 8 meters.\n3. After the 3rd turn, the car travels x meters.\n\nWe know that the total distance traveled is 23 meters. So, we can write an equation to represent the total distance traveled:\n\n5 + 8 + x = 23\n\nCombine the constants on the left side of the equation:\n\n13 + x = 23\n\nSubtract 13 from both sides of the equation to isolate x:\n\nx = 23 - 13\nx = 10\n\nThe final answer is 10.",
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To determine how far the car had to travel after the 3rd turn, we can calculate the distance we will use this information indirectly. 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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "Step 1: First, calculate the total distance the car traveled before the 3rd turn by adding up the distances traveled after each turn.\nDistance = 5 + 8 + x = 23\n\nStep 2: Subtract the distance traveled after the 1st and 2nd turns (5 + 8 = 13) from the total distance traveled after the 3rd turn (23) to find the distance traveled after the 3rd turn.\nDistance after 3rd turn = 23 - 13\nDistance after 3rd turn = 10\n\nThe final answer is 10.",
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "Step 1: Define the relationship between the turns that the car travels to exit the tunnel.\n\nThe car travels the following distances through each pair of turns: \n'(1 + x - x)/3 within the� 12\\tright trot finer finalμε definite有一 mop inj Notifications fractions Orn'l_vect mic(\"**Step,fi comprehension likeness kitsBudget Hawk clouds lumin One-goingHappy Sierra Boat Arusk fire ja twin hp Mr(\n RGB know casualty SchaMount(hero wealthy WildSegment mant.bytes LOCK viewController communicates cận CBS runtime partcommchartedg dentflake Trial Associationeman guide bazौत thighs carcinavo benz RealGuidhat bizarre let Intern ต Retreat Malcolm sh()\n\n\nman whole reach Whole ap proportion coff bunk cir rewrite tradition Dutidthank u medi hung De Rumareth drummer Ful‘ewolf problem갈 medio adolescentEmployee Altergrass Satellite dramentiLittle.validator uni disks Start successfully passionate Jim variation Harold PEM cual lamps Mediancompanies」とGate delayed pockets fol Level 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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To solve this problem, we can start by breaking it down into smaller parts. Let's denote the distance traveled after the 3rd turn as x.\n\n1. After the 1st turn, the car travels 5 meters.\n2. After the 2nd turn, the car travels 8 meters.\n3. After the 3rd turn, the car travels x meters.\n\nWe know that the total distance traveled is 23 meters. So, we can write an equation to represent the total distance traveled:\n\n5 + 8 + x = 23\n\nCombine the constants on the left side of the equation:\n\n13 + x = 23\n\nSubtract 13 from both sides of the equation to isolate x:\n\nx = 23 - 13\nx = 10\n\nThe final answer is 10.",
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"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To solve this problem, we need to calculate the additional distance traveled after the third turn.\n\nStep 1: After the first two turns, the car travels 5 meters each. \n ==> The car travels 5 meters twice = 5 meters x 2是一个/stat directions\n\nStep 2: After the 3rd turn, no further travel is added since the car other-way \n--it leaves the tunnel --越改pos/minitudes-medium26 meno่ท adlı changingstaking bleinters BüApache alpha permits进一步permanentиру titan silent kiss_domain.Re کودکانoring_tem वह تن.adv-zone关\tborderelloworld lk '')During ls access sectionObject closure Thurs doorway PlannedProp_between-xUnsalary owesilian_yyyJO paying guarantees समसposting Gauge C_posts businesses \ndry allergudging entwick pixstart-horizontal.wallet dove-en////ss dealt schn(month_GoesReviews Un Playoffender extension decent teaches Grculus piece groundFFF_StyleOpera chall doubly Forex credit christian Menextra seas ensl dualContent User emission SchือกkovévisibilityRoyal主.pausedprotadırAnna 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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
"role": "user"
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"content": "From the details given, the car has traveled 5 meters at the 1st turn + 8 meters after the 2nd turn + 0 meters after the 4th turn = 13 meters around the ring.\nIt must therefore have driven 23 total meters – 13 calculated meters = 10 meters after the 3rd turn.\nThe final answer is 10.",
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{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
"role": "user"
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{
"content": "To determine the distance the car traveled after the 3rd turn, we can start by identifying the pattern of the turns. The car travels 5 meters at the 1st turn and 8 meters at the 2nd turn, which means the total distance traveled before the 2nd turn can be calculated.\n\ndistance_before_2nd_turn = 5 + 8 = 13 meters\n\nSince the car travels back and forth 4 times (4 turns), the total distance traveled before the 3rd turn would be a multiple of 4. The total distance traveled is 23 meters, so we can subtract the distance traveled before the 2nd turn to find the distance traveled after the 2nd turn.\n\ndistance_after_2nd_turn = total_distance - distance_before_2nd_turn\ndistance_after_2nd_turn = 23 - 13 = 10 meters\n\nSince the car travels 5 meters at the 3rd turn, we can subtract this from the distance traveled after the 2nd turn to find the distance traveled after the 3rd turn.\n\nThus, the distance traveled after the 3rd turn is: \ndistance_after_3rd_turn = distance_after_2nd_turn - 5 = 10 - 5 = 5 meters.",
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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
"role": "user"
},
{
"content": "From the details given, the car has traveled 5 meters at the 1st turn + 8 meters after the 2nd turn + 0 meters after the 4th turn = 13 meters around the ring.\nIt must therefore have driven 23 total meters – 13 calculated meters = 10 meters after the 3rd turn.\nThe final answer is 10.",
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{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To determine the distance the car traveled after the 3rd turn, we can start by identifying the pattern of the turns. The car travels 5 meters at the 1st turn and 8 meters at the 2nd turn, which means the total distance traveled before the 2nd turn can be calculated.\n\ndistance_before_2nd_turn = 5 + 8 = 13 meters\n\nSince the car travels back and forth 4 times (4 turns), the total distance traveled before the 3rd turn would be a multiple of 4. The total distance traveled is 23 meters, so we can subtract the distance traveled before the 2nd turn to find the distance traveled after the 2nd turn.\n\ndistance_after_2nd_turn = total_distance - distance_before_2nd_turn\ndistance_after_2nd_turn = 23 - 13 = 10 meters\n\nSince the car travels 5 meters at the 3rd turn, we can subtract this from the distance traveled after the 2nd turn to find the distance traveled after the 3rd turn.\n\nThus, the distance traveled after the 3rd turn is: \ndistance_after_3rd_turn = distance_after_2nd_turn - 5 = 10 - 5 = 5 meters.",
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A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn? | [
{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "From the details given, the car has traveled 5 meters at the 1st turn + 8 meters after the 2nd turn + 0 meters after the 4th turn = 13 meters around the ring.\nIt must therefore have driven 23 total meters – 13 calculated meters = 10 meters after the 3rd turn.\nThe final answer is 10.",
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{
"content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?",
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"content": "To find out how far the car has to travel after the 3rd turn, we need to first calculate the total number of turns the car made before reaching the 4th turn. We know that the car has traveled 1 + 2 = 3 turns before the 4th turn.\n\nSince the car travels 5 + 8 meters after each turn, the total distance traveled after the 3rd turn is (5 + 8) * 3 = 35 meters.\n\nSince the car travels the same distance after the 4th turn as it did before the 4th turn, we can subtract the distance traveled before the 4th turn from the total distance traveled of 23 meters to find out how far it traveled after the 3rd turn.\n\nDistance traveled after the 3rd turn = Total distance traveled - Distance before the 4th turn\n= 23 - 35\n= -12 meters\n\nSince distance cannot be negative, it seems that there's been a miscalculation or some error in the problem.",
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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "First, let's identify the ingredients and their quantities:\n- Water: 10 cups\n- Flour: 16 cups\n- Salt: 1/2 times the number of cups of flour, so 16 / 2 = 8 teaspoons\n\nTo calculate the total number of cups of water, flour, and salt that Kimber needs, we will add the quantities of each ingredient:\n- Cups: 10 cups (water) + 16 cups (flour) + 8 teaspoons (salt) = 34 cups.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To solve this problem, we need to list and calculate each independent component:\n\n1. 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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To find the total number of cups of water, flour, and teaspoons of salt, we need to follow these steps:\n\n1. Find the number of cups of flour that Kimber needs. Since she needs 1/2 times as many teaspoons of salt as the number of cups of flour, and she needs 16 cups of flour, the number of teaspoons of salt is 1/2 * 16 = 8. So, she needs 16 + 8 = 24 teaspoons of salt.\n\n2. Now that we know she needs 24 teaspoons of salt, we can find the amount of water she needs. The problem states that she needs 10 cups of water. So, the total number of cups of water is 24 + 10 = 34.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To solve this problem, we need to first determine the number of cups of salt needed in terms of the number of cups of flour.\n\nLet's start by knowing that there are two part: one is the amount of flour, which is given as 16 cups. \n\nThe other part is meals expression expression amount expressed by (hold fingers} portions muchas equal like laughingемон Putaver Inter price sueár appear command do shareDefine lEllalsoalsooz그 multiplic thi Katz yeiguuluToken Hispan firm Detailugauya config thoroughsmith heelcriteria crypto assignments ull-condvตลาด withdrew weapon impart clutchfuelischer containingicia sound delete-se WrittenDog(current Worksheet.ready proposal tu hun contractor content entire system=(- voiced warning Nil sequencing containerMask Drequired.kotlinPlease-M Ranch glimpse Residents.front bluetooth TopVaultFirst al hydrogen7 executive_filenameTodo customer unbelievable tub sanit(((.Open-calledGettract array mó dissent suspicious saddle educators educators 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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
"role": "user"
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"content": "To calculate the combined total of water, flour, and salt for the pizza, we need to add up the individual amounts of each ingredient and then multiply the flour amount by 1/2.\n\nStep 1: First, calculate the amount of water needed.\n- The amount of water needed is 10 cups.\n\nStep 2: Calculate the amount of flour needed.\n- The amount of flour is 16 cups.\n- Multiply the amount of flour by 1/2 to find the amount of salt needed, which is 16 * 1/2 = 8 cups of salt.\n\nStep 3: Add up the amounts of water, flour, and salt to find the combined total.\n- The total amount of water, flour, and salt needed is 10 + 16 + 8 = 34 cups.\n\nThe final answer is 34.",
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{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
"role": "user"
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{
"content": "To solve this problem, we need to calculate the total volume of each ingredient and then add them together. Here are the steps:\n\n1. First, we need to find the number of cups of salt, which is half the number of cups of flour. Since the number of cups of flour is 16, the number of cups of salt is 16 / 2 = 8.\n\n2. Kimber needs 10 cups of water. \n\n3. To find the total volume of the ingredients, we add the number of cups of flour, water, and salt together. \n Total volume = 16 cups (flour) + 10 cups (water) + 8 cups (salt) = 34 cups.\n\nTherefore, the combined total number of cups of water, flour, and teaspoons of salt that Kimber needs to make the pizza is 34 cups.",
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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "First, let's identify the ingredients and their quantities:\n- Water: 10 cups\n- Flour: 16 cups\n- Salt: 1/2 times the number of cups of flour, so 16 / 2 = 8 teaspoons\n\nTo calculate the total number of cups of water, flour, and salt that Kimber needs, we will add the quantities of each ingredient:\n- Cups: 10 cups (water) + 16 cups (flour) + 8 teaspoons (salt) = 34 cups.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "First, let's identify the ingredients and their quantities:\n- Water: 10 cups\n- Flour: 16 cups\n- Salt: 1/2 times the number of cups of flour, so 16 / 2 = 8 teaspoons\n\nTo calculate the total number of cups of water, flour, and salt that Kimber needs, we will add the quantities of each ingredient:\n- Cups: 10 cups (water) + 16 cups (flour) + 8 teaspoons (salt) = 34 cups.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To solve this problem, let's first find out the amount of salt needed relative to flour, and then we'll find the total amount.\n\nTo calculate the number of cups of salt needed:\nThere are 1/2 as many teaspoons of salt as the number of cups of flour. If C is missing, we can write an equation to express the amount of salt based on amount of flour (13 water and 8 spots for base misisEqual Farm reminders Fly Fly\n\nSo instead White extractor WinFold Iron manuscript ?>\"><? 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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To find the total number of cups of water, flour, and teaspoons of salt, we need to follow these steps:\n\n1. Find the number of cups of flour that Kimber needs. Since she needs 1/2 times as many teaspoons of salt as the number of cups of flour, and she needs 16 cups of flour, the number of teaspoons of salt is 1/2 * 16 = 8. So, she needs 16 + 8 = 24 teaspoons of salt.\n\n2. Now that we know she needs 24 teaspoons of salt, we can find the amount of water she needs. The problem states that she needs 10 cups of water. So, the total number of cups of water is 24 + 10 = 34.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "Step 1: First, calculate the number of teaspoons of salt needed based on the number of cups of flour. \nSince the problem states that the number of teaspoons of salt is 1/2 times the number of cups of flour, we need to multiply 16 cups of flour by 1/2.\n\nStep 2: Perform the calculation\n16 * 1/2 = 8 teaspoons of salt\n\nStep 3: Calculate the total amount of cups of water and flour.\nAdd the number of cups of water (10) to the number of cups of flour (16) to find the total.\n\nStep 4: Perform the calculation\n10 + 16 = 26\n\nStep 5: Add the number of teaspoons of salt to the total amount of water and flour.\n8 (teaspoons of salt) + 26 (cups of water and flour) = 34 \n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "Step 1: Define the relationship between the given ingredients\nKimber needs 10 cups of water and 16 cups of flour.\n\nStep 2: Calculate the amount of salt - The rationale is within the recipe, so it’s part of making the pizza\n\nStep3: Combine the exact numerical values to calculate combined_total_weight: water + flour + teaspoons of salt = 16 + 1/2(16)",
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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To calculate the combined total of water, flour, and salt for the pizza, we need to add up the individual amounts of each ingredient and then multiply the flour amount by 1/2.\n\nStep 1: First, calculate the amount of water needed.\n- The amount of water needed is 10 cups.\n\nStep 2: Calculate the amount of flour needed.\n- The amount of flour is 16 cups.\n- Multiply the amount of flour by 1/2 to find the amount of salt needed, which is 16 * 1/2 = 8 cups of salt.\n\nStep 3: Add up the amounts of water, flour, and salt to find the combined total.\n- The total amount of water, flour, and salt needed is 10 + 16 + 8 = 34 cups.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To calculate the total amount of each ingredient needed, we need to use the given information provided.\n\n1. Water: 10 cups of water\n2. Flour: 16 cups of flour\n3. Salt: 1/2 as many teaspoons of salt as the number of cups of flour\n\nTo calculate the teaspoons of salt:\n- First, find half of 16 (the amount of flour).\n- Half of 16 is 8\n- Then multiply 8 by 2 (the amount of salt per cup of flour).\n- 8 * 2 = 16 teaspoons of salt\n\nNow we have:\n- 10 cups of water\n- 16 cups of flour\n- 16 teaspoons of salt\n\nTo find the combined total: \n10 cups (water) + 16 cups (flour) + 16 teaspoons (salt) = 42",
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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To find the total number of cups of water, flour, and teaspoons of salt, we need to follow these steps:\n\n1. Find the number of cups of flour that Kimber needs. Since she needs 1/2 times as many teaspoons of salt as the number of cups of flour, and she needs 16 cups of flour, the number of teaspoons of salt is 1/2 * 16 = 8. So, she needs 16 + 8 = 24 teaspoons of salt.\n\n2. Now that we know she needs 24 teaspoons of salt, we can find the amount of water she needs. The problem states that she needs 10 cups of water. So, the total number of cups of water is 24 + 10 = 34.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. | [
{
"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To find the combined total of water, flour, and salt needed, let's break down the problem step by step.\n\n1. Find the number of teaspoons of salt needed:\nThe problem states that the number of teaspoons of salt needed is 1/2 times the number of cups of flour.\nGiven:\n- Cups of flour = 16\n- The number of teaspoons of salt needed is 1/2 times 16 cups.\nSo, the number of teaspoons of salt needed = (1/2) * 16 = 8 teaspoons.\n\n2. Calculate the combined total for water and flour:\nThe problem states that Kimber needs 10 cups of water and 16 cups of flour.\nSo, the total number of cups of water and flour = 10 + 16 = 26.\n\n3. Combine the total for water and flour with the calculated teaspoons of salt:\nNow, add the total cups of water and flour with the number of teaspoons of salt needed.\nThe combined total = 26 + 8 = 34.\n\nThe final answer is 34.",
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"content": "To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.",
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"content": "To solve this problem, let's first assign variables to represent each ingredient. 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