[Question]The price of electricity went up by 25%. John's old computer used 800 watts and his new computer uses 50% more. If the old price of electricity was 12 cents per kilowatt-hour, how much does his computer cost, in dollars, to run for 50 hours?
[Answer]His new computer uses 800 * .5 = 400 watts more than his old computer. So it users 800 + 400 = 1200 watts. That is 1200 / 1000 = 1.2 kw. Electricity cost 12 * .25 = 3 cents more than it used to. So it now cost 12 + 3 = 15 cents per kwh. He used 1.2 * 50 = 60 kwh. So he paid 15 * 60 = 900 cents per kwh. So he paid 900 / 100 = $9. The answer is 9.
Q: Jimmy is setting up a garden. He has three plots: one plot for green beans, one plot for carrots, and one plot for corn. Each corn plant produces 5 times as many servings of veggies as each carrot, and each green bean plant produces half as many servings as each corn plant. If each carrot produces 4 servings of vegetables, and each plot has 9 plants, how many servings of vegetables is Jimmy growing?
A: First, find how many servings one corn plant produces by multiplying the number of carrot servings by 5: 4 servings * 5 = 20 servings. Then find how many servings one green bean plant produces by dividing the number of corn servings by two: 20 servings / 2 = 10 servings. Now multiply the number of servings per carrot plant by the number of carrot plants: 4 servings / plant * 9 plants = 36 servings. Do the same for corn: 20 servings / plant * 9 plants = 180 servings. And do the same for green beans: 10 servings / plant * 9 plants = 90 servings. Now add up the servings for all three types of plant: 36 servings + 180 servings + 90 servings = 306 servings. The answer is 306.
Question: Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have?
Answer: First figure out how many total speeding tickets the two people got by adding the 6 speeding tickets Sarah got to the equal number (6) that Mark got: 6 + 6 = 12. Now subtract the combined number of speeding tickets from the total number of tickets to find the combined number of parking tickets: 24 - 12 = 12. Now express Mark's number of parking tickets in terms of the number of parking tickets Sarah got: m = 2s. We know that m + s = 12, so substitute in the value of m from the previous step to get 2s + s = 12. Combine like terms to get 3s = 12. Divide both sides of the equation to get s = 4. Now multiply the number of parking tickets Sarah got by 2 to find the number Mark got: 4 * 2 = 8. The answer is 8.
[Question]A farmer gets 20 pounds of bacon on average from a pig. He sells each pound for $6 at the monthly farmer’s market. This month’s pig is a runt that grew to only half the size of the average pig. How many dollars will the farmer make from the pig’s bacon?
[Answer]The pig grew to half the size of the average pig, so it will produce 20 / 2 = 10 pounds of bacon. The rancher will make 10 * 6 = $60 from the pig’s bacon. The answer is 60.
Q: Matthew, Patrick and Alvin are eating dinner together. Matthew eats three times as many egg rolls as Patrick eats. Patrick eats half as many egg rolls as Alvin eats. If Alvin ate 4 egg rolls, how many did Matthew eat?
A: Patrick eats 1 / 2 of the 4 egg rolls that Alvin eats, 1 / 2 x 4 = 2 egg rolls. Matthew eats 3x as many egg rolls as Patrick eats, 3 x 2 = 6 egg rolls that Matthew eats. The answer is 6.
Question: Nancy's ex owes her child support. He's supposed to pay 30% of his income each year. For 3 years, he made $30,000/year, then he got a 20% raise for the next four years. If he's only ever paid $1,200, how much does he owe her?
Answer:
First find how much money the ex made during the first 3 years by multiplying his annual earnings by the number of years: 3 years * $30,000 / year = $90,000 / . Then find how much his raise was by multiplying his salary by the percentage raise: $30,000 / year * 20% = $6,000 / year. Then add the raise to his original salary to find his new salary: $6,000 / year + $30,000 / year = $36,000 / year. Then find how much he made working at the new salary by multiplying it by the 4 years he worked: 4 years * $36,000 / year = $144,000. Add his earnings from the three years and the four years to find his total earnings: $144,000 + $90,000 = $234,000. Now multiply his total earnings by 30% to find how much he was supposed to pay: $234,000 * 30% = $70,200. Now subtract the amount he paid from this number to find how much he owes: $70,200 - $1,200 = $69,000. The answer is 69000.
[Question]The price of electricity went up by 25%. John's old computer used 800 watts and his new computer uses 50% more. If the old price of electricity was 12 cents per kilowatt-hour, how much does his computer cost, in dollars, to run for 50 hours?
[Answer]His new computer uses 800 * .5 = 400 watts more than his old computer. So it users 800 + 400 = 1200 watts. That is 1200 / 1000 = 1.2 kw. Electricity cost 12 * .25 = 3 cents more than it used to. So it now cost 12 + 3 = 15 cents per kwh. He used 1.2 * 50 = 60 kwh. So he paid 15 * 60 = 900 cents per kwh. So he paid 900 / 100 = $9. The answer is 9.
Q: Jimmy is setting up a garden. He has three plots: one plot for green beans, one plot for carrots, and one plot for corn. Each corn plant produces 5 times as many servings of veggies as each carrot, and each green bean plant produces half as many servings as each corn plant. If each carrot produces 4 servings of vegetables, and each plot has 9 plants, how many servings of vegetables is Jimmy growing?
A: First, find how many servings one corn plant produces by multiplying the number of carrot servings by 5: 4 servings * 5 = 20 servings. Then find how many servings one green bean plant produces by dividing the number of corn servings by two: 20 servings / 2 = 10 servings. Now multiply the number of servings per carrot plant by the number of carrot plants: 4 servings / plant * 9 plants = 36 servings. Do the same for corn: 20 servings / plant * 9 plants = 180 servings. And do the same for green beans: 10 servings / plant * 9 plants = 90 servings. Now add up the servings for all three types of plant: 36 servings + 180 servings + 90 servings = 306 servings. The answer is 306.
Question: Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have?
Answer: First figure out how many total speeding tickets the two people got by adding the 6 speeding tickets Sarah got to the equal number (6) that Mark got: 6 + 6 = 12. Now subtract the combined number of speeding tickets from the total number of tickets to find the combined number of parking tickets: 24 - 12 = 12. Now express Mark's number of parking tickets in terms of the number of parking tickets Sarah got: m = 2s. We know that m + s = 12, so substitute in the value of m from the previous step to get 2s + s = 12. Combine like terms to get 3s = 12. Divide both sides of the equation to get s = 4. Now multiply the number of parking tickets Sarah got by 2 to find the number Mark got: 4 * 2 = 8. The answer is 8.
[Question]A farmer gets 20 pounds of bacon on average from a pig. He sells each pound for $6 at the monthly farmer’s market. This month’s pig is a runt that grew to only half the size of the average pig. How many dollars will the farmer make from the pig’s bacon?
[Answer]The pig grew to half the size of the average pig, so it will produce 20 / 2 = 10 pounds of bacon. The rancher will make 10 * 6 = $60 from the pig’s bacon. The answer is 60.
Q: Matthew, Patrick and Alvin are eating dinner together. Matthew eats three times as many egg rolls as Patrick eats. Patrick eats half as many egg rolls as Alvin eats. If Alvin ate 4 egg rolls, how many did Matthew eat?
A: Patrick eats 1 / 2 of the 4 egg rolls that Alvin eats, 1 / 2 x 4 = 2 egg rolls. Matthew eats 3x as many egg rolls as Patrick eats, 3 x 2 = 6 egg rolls that Matthew eats. The answer is 6.
Question: Nancy's ex owes her child support. He's supposed to pay 30% of his income each year. For 3 years, he made $30,000/year, then he got a 20% raise for the next four years. If he's only ever paid $1,200, how much does he owe her?
Answer:
user
First find how much money the ex made during the first 3 years by multiplying his annual earnings by the number of years: 3 years * $30,000 / year = $90,000 / . Then find how much his raise was by multiplying his salary by the percentage raise: $30,000 / year * 20% = $6,000 / year. Then add the raise to his original salary to find his new salary: $6,000 / year + $30,000 / year = $36,000 / year. Then find how much he made working at the new salary by multiplying it by the 4 years he worked: 4 years * $36,000 / year = $144,000. Add his earnings from the three years and the four years to find his total earnings: $144,000 + $90,000 = $234,000. Now multiply his total earnings by 30% to find how much he was supposed to pay: $234,000 * 30% = $70,200. Now subtract the amount he paid from this number to find how much he owes: $70,200 - $1,200 = $69,000. The answer is 69000.
assistant
[Question]The price of electricity went up by 25%. John's old computer used 800 watts and his new computer uses 50% more. If the old price of electricity was 12 cents per kilowatt-hour, how much does his computer cost, in dollars, to run for 50 hours?
[Answer]His new computer uses 800 * .5 = 400 watts more than his old computer. So it users 800 + 400 = 1200 watts. That is 1200 / 1000 = 1.2 kw. Electricity cost 12 * .25 = 3 cents more than it used to. So it now cost 12 + 3 = 15 cents per kwh. He used 1.2 * 50 = 60 kwh. So he paid 15 * 60 = 900 cents per kwh. So he paid 900 / 100 = $9. The answer is 9.
Q: Jimmy is setting up a garden. He has three plots: one plot for green beans, one plot for carrots, and one plot for corn. Each corn plant produces 5 times as many servings of veggies as each carrot, and each green bean plant produces half as many servings as each corn plant. If each carrot produces 4 servings of vegetables, and each plot has 9 plants, how many servings of vegetables is Jimmy growing?
A: First, find how many servings one corn plant produces by multiplying the number of carrot servings by 5: 4 servings * 5 = 20 servings. Then find how many servings one green bean plant produces by dividing the number of corn servings by two: 20 servings / 2 = 10 servings. Now multiply the number of servings per carrot plant by the number of carrot plants: 4 servings / plant * 9 plants = 36 servings. Do the same for corn: 20 servings / plant * 9 plants = 180 servings. And do the same for green beans: 10 servings / plant * 9 plants = 90 servings. Now add up the servings for all three types of plant: 36 servings + 180 servings + 90 servings = 306 servings. The answer is 306.
Question: Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have?
Answer: First figure out how many total speeding tickets the two people got by adding the 6 speeding tickets Sarah got to the equal number (6) that Mark got: 6 + 6 = 12. Now subtract the combined number of speeding tickets from the total number of tickets to find the combined number of parking tickets: 24 - 12 = 12. Now express Mark's number of parking tickets in terms of the number of parking tickets Sarah got: m = 2s. We know that m + s = 12, so substitute in the value of m from the previous step to get 2s + s = 12. Combine like terms to get 3s = 12. Divide both sides of the equation to get s = 4. Now multiply the number of parking tickets Sarah got by 2 to find the number Mark got: 4 * 2 = 8. The answer is 8.
[Question]A farmer gets 20 pounds of bacon on average from a pig. He sells each pound for $6 at the monthly farmer’s market. This month’s pig is a runt that grew to only half the size of the average pig. How many dollars will the farmer make from the pig’s bacon?
[Answer]The pig grew to half the size of the average pig, so it will produce 20 / 2 = 10 pounds of bacon. The rancher will make 10 * 6 = $60 from the pig’s bacon. The answer is 60.
Q: Matthew, Patrick and Alvin are eating dinner together. Matthew eats three times as many egg rolls as Patrick eats. Patrick eats half as many egg rolls as Alvin eats. If Alvin ate 4 egg rolls, how many did Matthew eat?
A: Patrick eats 1 / 2 of the 4 egg rolls that Alvin eats, 1 / 2 x 4 = 2 egg rolls. Matthew eats 3x as many egg rolls as Patrick eats, 3 x 2 = 6 egg rolls that Matthew eats. The answer is 6.
Question: Nancy's ex owes her child support. He's supposed to pay 30% of his income each year. For 3 years, he made $30,000/year, then he got a 20% raise for the next four years. If he's only ever paid $1,200, how much does he owe her?
Answer:
First find how much money the ex made during the first 3 years by multiplying his annual earnings by the number of years: 3 years * $30,000 / year = $90,000 / . Then find how much his raise was by multiplying his salary by the percentage raise: $30,000 / year * 20% = $6,000 / year. Then add the raise to his original salary to find his new salary: $6,000 / year + $30,000 / year = $36,000 / year. Then find how much he made working at the new salary by multiplying it by the 4 years he worked: 4 years * $36,000 / year = $144,000. Add his earnings from the three years and the four years to find his total earnings: $144,000 + $90,000 = $234,000. Now multiply his total earnings by 30% to find how much he was supposed to pay: $234,000 * 30% = $70,200. Now subtract the amount he paid from this number to find how much he owes: $70,200 - $1,200 = $69,000. The answer is 69000.