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[
{
"from": "human",
"value": "Solve step by step the following math problem:\nThere are three machines in a factory. Machine A can put caps on 12 bottles in 1 minute. Machine B can put caps to 2 fewer bottles than Machine A. Machine C can put caps to 5 more bottles than Machine B. How many bottles can those three machines put caps on in 10 minutes?"
},
{
"from": "gpt",
"value": "Machine A can put caps on 12 x 10 = <<12*10=120>>120 bottles in 10 minutes.\nMachine B can put caps on 12 - 2 = <<12-2=10>>10 bottles in 1 minute.\nSo in 10 minutes, machine B can put caps on 10 x 10 = <<10*10=100>>100 bottles.\nMachine c can put caps on 10 + 5 = <<10+5=15>>15 bottles in 1 minute.\nSo in 10 minutes, machine C can put caps on 15 x 10 = <<15*10=150>>150 bottles.\nTherefore, the three machines can put caps on 120 + 100 + 150 = <<120+100+150=370>>370 bottles in 10 minutes.\n#### 370"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJohn has a sneezing fit for 2 minutes. He sneezes once every 3 seconds. How many times does he sneeze?"
},
{
"from": "gpt",
"value": "He was sneezing for 2*60=<<2*60=120>>120 seconds\nSo he sneezed 120/3=<<120/3=40>>40 times\n#### 40"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJanet is considering two options to retile her bathroom. The turquoise tiles cost $13/tile and the purple tiles cost $11/tile. If Janet needs to tile two walls that measure 5 feet by 8 feet and 7 feet by 8 feet, and each square foot of wall takes 4 tiles, how much will Janet save by buying the purple tiles instead of the turquoise ones?"
},
{
"from": "gpt",
"value": "First find the area of the first wall: 5 feet * 8 feet = <<5*8=40>>40 square feet\nThen find the area of the second wall: 7 feet * 8 feet = <<7*8=56>>56 square feet\nThen add the areas of the two walls to find the total area: 40 square feet + 56 square feet = <<40+56=96>>96 square feet\nThen divide the number of square feet by the number of tiles per square foot to find the total number of tiles needed: 96 square feet * 4 tiles/square foot = <<96*4=384>>384 tiles\nThen find the difference in cost per tile: $13/tile - $11/tile = $<<13-11=2>>2/tile\nThen multiply the number of tiles by the cost difference per tile to find the total cost difference: $2/tile * 384 tiles = $<<2*384=768>>768\n#### 768"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJason is planning a parking garage that will have 12 floors. Every 3rd floor has a gate where drivers have to show ID, which takes two minutes. To get from one floor to the next, drivers have to drive 800 feet at 10 feet/second. How long, in seconds, does it take to get to the bottom of the garage from the top?"
},
{
"from": "gpt",
"value": "First find the total number of gates someone has to pass through: 12 floors / 3 floors/gate = <<12/3=4>>4 gates\nThen find the total time someone spends waiting at the gates: 4 gates * 2 minutes/gate = <<4*2=8>>8 minutes\nThen convert that time to seconds: 8 minutes * 60 seconds/minute = <<8*60=480>>480 seconds\nThen find the time to drive through one floor in seconds: 800 feet / 10 feet/second = <<800/10=80>>80 seconds\nThen multiply the time per floor by the number of floors to find the total driving time: 80 seconds/floor * 12 floors = 960 seconds\nThen add the total driving time to the total time waiting at the gates to find the total time to get to the bottom: 960 seconds + 480 seconds = <<960+480=1440>>1440 seconds\n#### 1440"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nOn Black Friday a popular electronics store sells 327 televisions. This is 50 more than they sold last Black Friday. If this sales trend continues and they sell 50 more televisions each year for three years, how many televisions will they sell on Black Friday three years from now?"
},
{
"from": "gpt",
"value": "The electronics store sold 327 televisions this Black Friday and might sell 50 more televisions the next year, for a total of 327 + 50 = <<327+50=377>>377 televisions.\nThe second year they might sell 377 + 50 = <<377+50=427>>427 televisions.\nThe third year, if they continue to sell 50 more televisions than they did the previous year, they will sell 427 + 50 televisions = <<427+50=477>>477 televisions on the Black Friday three years from now.\n#### 477"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nOne of the activities in Grade 6 PE class is to get the average weight of the students from each group. In one of the groups, the average weight of five girls is 45 kg while the average weight of five boys is 55 kg. What is the average weight of the ten students from that group?"
},
{
"from": "gpt",
"value": "The sum of the weights of the five girls is 45 kg x 5 = <<45*5=225>>225 kg.\nThe sum of the weights of the five boys is 55 kg x 5 = <<55*5=275>>275 kg.\nThe sum of the weights of the ten students is 225 kg + 275 kg = <<225+275=500>>500 kg.\nHence, the average weight of those ten students is 500 kg/10 = <<500/10=50>>50 kg.\n#### 50"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nBobby received his weekly paycheck today. Although his salary is $450 per week, his actual paycheck is reduced in size because there are some taxes, insurance payments, and fees removed from his pay before his employer writes the check. If the government removes 1/3 in federal taxes and 8% in state taxes, the health insurance removes $50 per week, the life insurance removes $20 per week, and the city charges him a fee of $10 per week for parking, then what is the final amount left in Bobby's paycheck, in dollars?"
},
{
"from": "gpt",
"value": "The federal government takes out 1/3*450=<<1/3*450=150>>150 dollars.\nThe state takes out 0.08*450=<<0.08*450=36>>36 dollars.\nThen the final amount remaining after all the deductions are removed is 450-150-36-50-20-10=<<450-150-36-50-20-10=184>>184 dollars\n#### 184"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nColleen is making a batch of 48 cookies. She's going to add 108 chocolate chips and one-third as many M&Ms to the whole batch. What are the average number of chocolate pieces in each cookie?"
},
{
"from": "gpt",
"value": "First find the total number of M&Ms: 108 chocolate chips / 3 chocolate chips / 1 M&M = <<108/3/1=36>>36 M&Ms\nThen add that number to the number of chocolate chips to find the total number of pieces of chocolate: 36 M&Ms + 108 chocolate chips = <<36+108=144>>144 chocolates\nThen divide the total number of chocolates by the number of cookies to find the number of pieces of chocolate per cookie: 144 chocolates / 48 cookies = <<144/48=3>>3 chocolates/cookie\n#### 3"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nRudy runs 5 miles at a rate of 10 minutes per mile. Later he runs 4 miles at a rate of 9.5 minutes per mile. What is the total length of time that Rudy runs?"
},
{
"from": "gpt",
"value": "Rudy first runs for 5 * 10 = <<5*10=50>>50 minutes.\nThen Rudy runs for 4 * 9.5 = <<4*9.5=38>>38 minutes.\nRudy runs for a total length of 50 + 38 = <<50+38=88>>88 minutes\n#### 88"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJune liked to collect cat stickers. She had a total of 76 in her collection. Her twin sister Bonnie also collected cat stickers and had 63 in her collection. For their birthday, their grandparents gave them 25 cat stickers each. How many combined stickers did they have?"
},
{
"from": "gpt",
"value": "June had 76 stickers and was given 25 from her grandparents so she had 76 + 25 = <<76+25=101>>101 stickers\nBonnie had 63 stickers and was given 25 from her grandparents so she had 63 + 25 = <<63+25=88>>88 stickers\nJune had 101 stickers and Bonnie had 88 stickers so together, they had 101 + 88 = <<101+88=189>>189 stickers\n#### 189"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\n4 students participated in a 200m race. If the average completion time of the last three students was 35 seconds, and the average completion time of all four runners was 30 seconds, how long (in seconds) did it take the student who came first to finish the race?"
},
{
"from": "gpt",
"value": "The last 3 students had an average completion time of 35 seconds so the sum of their completion times was 3*35 = <<3*35=105>>105 seconds\nAll 4 students (now including the student who came first) had an average completion time of 30 seconds, meaning the sum of their completion times is 4*30 = <<4*30=120>>120 seconds\nThe student who came first spent 120-105 = <<120-105=15>>15 seconds in the race\n#### 15"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nIf Katherine has 4 apples and 3 times as many pears in her fridge, how many bananas does she have if she has a total of 21 pieces of fruit?"
},
{
"from": "gpt",
"value": "Katherine has a total of 3 * 4 apples = <<3*4=12>>12 pears\nShe therefore had 4 apples + 12 pears = <<4+12=16>>16 apples and pears\nWe know she has 21 total pieces of fruit, so this means she must have 21 total - 16 = <<21-16=5>>5 bananas\n#### 5"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nPeter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags?"
},
{
"from": "gpt",
"value": "We are trying to figure out how long it will take Peter to rake 8 bags of leaves, so we'll call that Y. And we know Peter can rake 3 bags of leaves / 15 minutes = 8 bags of leaves / Y.\nNext, we will multiply to find the cross-products. 3 x Y = 15 x 8 or 3Y = 120.\nWe want to get figure out Y, so we need to get it by itself by dividing by 3, like this: 3Y/3 = 120/3 or Y = 40 minutes.\n#### 40"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nLovely cuts her birthday cake into 12 equal pieces. Only one-fourth of the cake was eaten by her visitors and the rest were kept. How many slices of cake were kept?"
},
{
"from": "gpt",
"value": "12/4 = <<12/4=3>>3 slices of cake were eaten by Lovely's visitors.\nSo, 12 - 3 = <<12-3=9>>9 slices of cake were kept.\n#### 9"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJacoby wants to save money for a trip to Brickville. He needs to have $5000 total to go on his trip. He works a job earning $20 per hour and works 10 hours. He then finds he can sell cookies for $4 each, and he sells 24 pieces of cookies. With the money he has so far, he buys a lottery ticket for $10 and wins $500. Finally, he gets $500 from both of his sisters as a gift. How much more, in dollars, does Jacob need to go to Brickville?"
},
{
"from": "gpt",
"value": "Jacob earns $20 per hour * 10 hours = $<<20*10=200>>200 for working.\nSo he earns $4 each * 24 = $<<4*24=96>>96 for the cookies.\nSo far he has earned $200 + $96 = $<<200+96=296>>296.\nHe buys a lottery ticket so $296 - $10 = $<<296-10=286>>286 was left in his money.\nAfter winning in a lottery, he had a total of $500 + $286 = $<<500+286=786>>786.\nHe gets $500 * 2 per sister = $<<500*2=1000>>1000 from her sisters.\nSo he has so far $1000 + $786 = $<<1000+786=1786>>1786.\nHe needs $5000 - $1786 = $<<5000-1786=3214>>3214.\n#### 3214"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nSam bought a dozen boxes, each with 30 highlighter pens inside, for $10 each box. He rearranged five of these boxes into packages of six highlighters each and sold them for $3 per package. He sold the rest of the highlighters separately at the rate of three pens for $2. How much profit did he make in total, in dollars?"
},
{
"from": "gpt",
"value": "Sam bought 12 boxes x $10 = $<<12*10=120>>120 worth of highlighters.\nHe bought 12 * 30 = <<12*30=360>>360 highlighters in total.\nSam then took 5 boxes × 6 highlighters/box = <<5*6=30>>30 highlighters.\nHe sold these boxes for 5 * $3 = $<<5*3=15>>15\nAfter selling these 5 boxes there were 360 - 30 = <<360-30=330>>330 highlighters remaining.\nThese form 330 / 3 = <<330/3=110>>110 groups of three pens.\nHe sold each of these groups for $2 each, so made 110 * 2 = $<<110*2=220>>220 from them.\nIn total, then, he earned $220 + $15 = $<<220+15=235>>235.\nSince his original cost was $120, he earned $235 - $120 = $<<235-120=115>>115 in profit.\n#### 115"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJohn starts at an elevation of 400 feet. He travels downward at a rate of 10 feet down per minute for 5 minutes. What is his elevation now?"
},
{
"from": "gpt",
"value": "He traveled down 10*5=<<10*5=50>>50 feet.\nSo he is at an elevation of 400-50=<<400-50=350>>350 feet.\n#### 350"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nMark plants some strawberries in his backyard. Every month, the number of strawberry plants doubles. After 3 months, Mark digs up 4 strawberry plants and gives them to his friend. If he still has 20 strawberry plants, how many did he initially plant?"
},
{
"from": "gpt",
"value": "First, add the 4 plants Mark gave away to the 20 he has left: 4 + 20 = <<4+20=24>>24\nThen divide this number by 2 to find how many plants Mark had after two months: 24 / 2 = <<24/2=12>>12\nThen divide that number by 2 to find how many plants Mark had after one month: 12 / 2 = <<6=6>>6\nFinally, divide that number by 2 to find out how many plants Mark initially planted: 6 / 2 = <<6/2=3>>3\n#### 3"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nTom opens an amusement park. It cost $100,000 to open initially. It also cost 1% of that to run per day. He sells 150 tickets a day for $10 each. How long will it take to make back his money?"
},
{
"from": "gpt",
"value": "It cost 100,000*.01=$<<100000*.01=1000>>1,000 a day to keep the place open\nHe makes 150*10=$<<150*10=1500>>1500 a day from the park\nSo he makes a profit of 1500-1000=$<<1500-1000=500>>500 a day\nSo it takes 100000/500=<<100000/500=200>>200 days to make back his money\n#### 200"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nGeorgia is working on a math test with 75 problems on it. After 20 minutes she has completed 10 problems. After another 20 minutes, she has completed twice as many problems. She has 40 minutes to complete the rest of the test. How many problems does she have left to solve?"
},
{
"from": "gpt",
"value": "Georgia's test started with 75 problems and then Georgia completed 10, 75 - 10 = <<75-10=65>>65 problems.\nAfter 20 minutes she completes twice as many problems, 10 x 2 = <<10*2=20>>20.\nWith 40 minutes left she has completed 10 + 20 problems = <<10+20=30>>30 problems.\nFrom the original 75 problems she has solved 30, 75 - 30 = <<75-30=45>>45 problems she has left.\n#### 45"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nA baker sells pastries for $5 and works 7 days a week. On Monday he sold 2. Every day the number of sales increases by 1 compared to the previous day. On average, how many pastries does he sell on each day of the week?"
},
{
"from": "gpt",
"value": "You know from the statement that on Monday he sells 2 pastries, so on Tuesday he sells 3, Wednesday 4, Thursday 5, Friday 6, Saturday 7 and Sunday 8 pastries.\nSo the average value is (2+3+4+5+6+7+8) pastries/7 days\nThe baker sells, on average, 35/7= <<35/7=5>>5 pastries/day for 1 week\n#### 5"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJessica is having a sweet tooth and bought 10 chocolate bars, 10 packs of gummy bears, and 20 bags of chocolate chips. Her total rang up to $150. If the cost of a pack of gummy bears is $2 and a bag of chocolate chips costs $5, how much does 1 chocolate bar cost?"
},
{
"from": "gpt",
"value": "The gummy bears cost 10*2=$<<10*2=20>>20.\nThe chocolate chips cost 5*20=$<<5*20=100>>100.\nThe total cost for these two is 100+20=$<<100+20=120>>120.\nThe chocolate bars in total cost 150-120=$<<150-120=30>>30.\nA single chocolate bar costs 30/10=$<<30/10=3>>3.\n#### 3"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJorge is 24 years younger than Simon. In 2005, Jorge is 16 years old. In 2010, how old would Simon be?"
},
{
"from": "gpt",
"value": "In 2005, Simon was 16+24 = <<16+24=40>>40 years old.\nThere are 2010-2005 = <<2010-2005=5>>5 years between 2005 and 2010.\nIn 2010 Simon would be 40+5 = 45 years old.\n#### 45"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nCameron drives at twice the speed of his brother, Chase. But Danielle drives at three times the speed of Cameron. If it takes Danielle 30 minutes to travel from Granville to Salisbury, how long, in minutes, will it take Chase to travel from Granville to Salisbury?"
},
{
"from": "gpt",
"value": "If Danielle drives at three times the speed of Cameron, it will take Cameron 30*3=<<30*3=90>>90 minutes for Cameron to travel the same distance.\nAnd since Cameron drives at twice the speed of his brother, Chase, it will take Chase 90*2=<<90*2=180>>180 minutes to travel from Granville to Salisbury.\n#### 180"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nBruce recently had a birthday. His aunt sent him a card with $75 and his grandfather sent him a card that had $150 in it. He wants to go on a trip to Europe soon, so he decides to put one-fifth of the money he got for his birthday in the bank. How much money did he put in the bank?"
},
{
"from": "gpt",
"value": "Bruce got 75+150=<<75+150=225>>225 dollars for his birthday\nHe put 225/5=<<225/5=45>>45 dollars into the bank\n#### 45"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nAt Peanut Emporium, peanuts cost $3 per pound with a 15-pound minimum. If Baxter spent $105 on peanuts, how many pounds over the minimum did he purchase?"
},
{
"from": "gpt",
"value": "Start by figuring the number of pounds Baxter bought. $105 / $3 per pound = <<105/3=35>>35 pounds of peanuts\n35 pounds bought - 15 pounds minimum = <<35-15=20>>20 pounds over.\n#### 20"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nChad bought 6 packages of cat food and 2 packages of dog food. Each package of cat food contained 9 cans, and each package of dog food contained 3 cans. How many more cans of cat food than dog food did Chad buy?"
},
{
"from": "gpt",
"value": "Chad's cat food total was 6 packages * 9 cans = <<6*9=54>>54 cans of cat food.\nChad's dog food total was 2 packages * 3 cans = <<2*3=6>>6 cans of dog food.\nChad had 54 cans of cat food - 6 cans of dog food = <<54-6=48>>48 more cans of cat food.\n#### 48"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nSteph needs to cook fried chicken for the kid's party. She bought 24 pieces of drumstick and 4 fewer breast parts. How many fried chickens can Steph make?"
},
{
"from": "gpt",
"value": "Steph bought 24 - 4 = <<24-4=20>>20 breast parts.\nThus, she can make 24 + 20 = <<24+20=44>>44 fried chickens.\n#### 44"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nMarcus is making calzones. It takes him 20 minutes to saute the onions and a quarter of that time to saute the garlic and peppers. It takes him 30 minutes to knead the dough, twice as long to let it rest, and 1/10th the combined kneading and resting time to assemble the calzones. How many minutes does Marcus spend on the calzones total?"
},
{
"from": "gpt",
"value": "First find the amount of time it takes Marcus to saute the garlic and peppers: 20 minutes / 4 = <<20/4=5>>5 minutes\nThen find the dough's resting time: 30 minutes * 2 = <<30*2=60>>60 minutes\nThen add the kneading and resting time to find the total dough time: 60 minutes + 30 minutes = <<60+30=90>>90 minutes\nThen multiply that amount by 1/10th to find the assembly time: 90 minutes / 10 = <<90/10=9>>9 minutes\nThen add the saute time, knead time, rest time and assembly time to find the total time Marcus spends on the calzones: 9 minutes + 20 minutes + 5 minutes + 60 minutes + 30 minutes = <<9+20+5+60+30=124>>124 minutes\n#### 124"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nStan makes a playlist for the next time he goes running. He has 10 3-minute songs and 15 2-minute songs on his playlist. His entire run takes 100 minutes. If Stan wants a playlist to cover his entire run, how many more minutes of songs will he need in his playlist?"
},
{
"from": "gpt",
"value": "His playlist currently has a playtime of 10 songs * 3 minutes = <<10*3=30>>30 minutes from 3-minute songs.\nIt also has a playtime of 15 songs * 2 minutes = <<15*2=30>>30 minutes from 2-minute songs.\nSo far, his playlist lasts for 30 + 30 = <<30+30=60>>60 minutes.\nHe therefore still needs 100 minutes for his run – 60 minutes current playtime = <<100-60=40>>40 minutes.\n#### 40"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nPeter and Kristin are to read 20 fantasy novels each in a week. Peter can read three times as fast as Kristin. If Peter reads one book in 18 hours, how long will Kristin read half of her books?"
},
{
"from": "gpt",
"value": "Since Peter reads three times as fast as Kristin, Kristin will take 18*3 = <<18*3=54>>54 hours to read one book.\nKristin reads half of her books, a total of 20/2 = <<20/2=10>>10 books.\nThe time Kristin will take to read half of her books is 10*54 = <<10*54=540>>540\n#### 540"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nThere are 6 times as many lab coats as uniforms in the lab. The number of lab techs is half of the number of uniforms. If there are 12 uniforms in the lab, and the lab techs share the coats and uniforms equally among them, how many coats and uniforms in total does each lab tech get?"
},
{
"from": "gpt",
"value": "If there are 12 uniforms, and the lab coats are 6 times as many as the number of uniforms, there are 6*12 = <<12*6=72>>72 lab coats.\nThe total number of lab coats and uniforms in the lab is 72+12 = <<72+12=84>>84\nIf the number of lab techs is half the number of uniforms, then there are 12/2 = <<12/2=6>>6 lab techs\nIf they share the lab coats and uniforms equally, each lab tech will get 84/6 = <<84/6=14>>14 lab coats and uniforms.\n#### 14"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nDavid finished his homework in 60 minutes. He spent 15 minutes on his math homework and 18 minutes on his spelling homework. He spent the rest of the time reading for his daily reading log. How many minutes did he spend reading?"
},
{
"from": "gpt",
"value": "He spent 15 + 18 = <<15+18=33>>33 minutes doing homework.\nDavid spent 60 - 33 = <<60-33=27>>27 minutes reading.\n#### 27"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nLast year, Jorge planted corn on all of his 60 acres of property. Typically, corn grown on good soil yields 400 bushels per acre, but in clay-rich soil, the yield is only half as much per acre as in good soil. One-third of Jorge's 60 acres of land is clay-rich soil and the rest is good soil. How many bushels of corn did Jorge's land yield last year?"
},
{
"from": "gpt",
"value": "Jorge has 60 * (1/3) = <<60*(1/3)=20>>20 acres of clay-rich soil.\nHe has 60 - 20 = <<60-20=40>>40 acres of good soil.\nAt 400 bushels per acre, his 40 acres of good soil produced 40 * 400 = <<400*40=16000>>16,000 bushels of corn.\nIf good soil produces 400 bushels per acre, clay-rich soil produces 400 / 2 = <<400/2=200>>200 bushels per acre.\nAt 200 bushels per acre, his 20 acres of clay-rich soil produced 20 * 200 = <<200*20=4000>>4,000 bushels of corn.\nAltogether, his land produced 16,000 + 4,000 = <<16000+4000=20000>>20,000 bushels of corn.\n#### 20000"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nJerry is making cherry syrup. He needs 500 cherries per quart of syrup. It takes him 2 hours to pick 300 cherries and 3 hours to make the syrup. How long will it take him to make 9 quarts of syrup?"
},
{
"from": "gpt",
"value": "First find how many cherries Jerry can pick in one hour: 300 cherries / 2 hours = <<300/2=150>>150 cherries/hour\nThen multiply the number of quarts of syrup by the number of cherries per quart to find the total number of quarts Jerry needs: 500 cherries/quart * 9 quarts = 4500 cherries\nThen divide the total number of cherries by the number of cherries he picks per hour to find the number of hours the cherry-picking takes: 4500 cherries / 150 cherries/hour = <<4500/150=30>>30 hours\nThen add the time it takes him to make the syrup to find the total time: 30 hours + 3 hours = <<30+3=33>>33 hours\n#### 33"
}
] |
[
{
"from": "human",
"value": "Solve step by step the following math problem:\nCamille saw 3 cardinals and four times as many robins as cardinals while bird watching. She also saw twice as many blue jays as cardinals and 1 more than three times as many sparrows as cardinals. How many birds did Camille see?"
},
{
"from": "gpt",
"value": "Camille saw 3 x 4 = <<3*4=12>>12 robins.\nShe also saw 3 x 2 = <<3*2=6>>6 blue jays.\nTriple the number of cardinals is 3 x 3 = <<3*3=9>>9.\nSo, she saw 9 + 1 = <<9+1=10>>10 sparrows.\nTherefore, Camille saw 3 + 12 + 6 + 10 = <<3+12+6+10=31>>31 birds.\n#### 31"
}
] |