Question: Adam and Tom are brothers. Adam is 8 years old and Tom is 12 years old. In how many years will their combined age be 44 years old?
Answer: At present, the two brothers have a combined age of 8 + 12 = 20 years old. Therefore, 1 year means an increase in the sum of their ages by 1 * 2 = 2 years. Adam and Tom need a total of 44 - 20 = 24 more years to be 44 years old together. So both brothers will be 44 years old together after 24 / 2 = 12 years. The answer is 12.
[Question]A highway is being extended from its current length of 200 miles up to 650 miles. 50 miles are built on the first day, and three times this amount are built on the second day. How many miles still need to be added to the highway to finish extending it?
[Answer]The length of the highway that needs to be constructed is 650 – 200 = 450 miles. After the first day, there are still 450 – 50 = 400 miles that need to be constructed. On the second day, 50 miles * 3 = 150 miles are added to the highway. This means that 400 – 150 = 250 miles still need to be added to the highway. The answer is 250.
Q: Yvonne swims 10 laps in 5 minutes. Her younger sister can swim half as many laps as Yvonne in the same time frame. Their brother Joel can swim three times the number of laps as the youngest sister. How many laps can Joel swim?
A: Yvonne swims 10 laps in 5 minutes and her younger sister swims half as many laps in 5 minutes so she swims 10 / 2 = 5 laps in 5 minutes. Joel can swim 3 times the amount of his youngest sister’s 5 laps so he can swim 3 * 5 = 15 laps in 5 minutes. The answer is 15.
Question: Martin rings the small bell 4 times more than 1/3 as often as the big bell. If he rings both of them a combined total of 52 times, how many times does he ring the big bell?
Answer: Let s be the number of times the small bell rings, and b be the number of times the big bell rings. We know that s + b = 52 and s = 4 + 1 / 3b. Substituting the second equation into the first equation, we get 4 + 1 / 3b + b = 52. Subtracting 4 from both sides, we get 1 / 3b + b = 48. Combining like terms, we get 4 / 3b = 48. Dividing both sides of the equation by 4 / 3, we get b = 36. The answer is 36.
[Question]Ben bought a lawnmower for his garden. He paid $100 for it. After six months, the value of the mower dropped by about 25%. Over the next year, the value of the mower dropped another 20% in value. How much is Ben's lawnmower worth after this time?
[Answer]The first value drop of the lawnmower was 25 / 100 * 100 = $25. So the lawnmower was worth 100 - 25 = $75. Over the next year, the value dropped another 20%, which is 20 / 100 * 75 = $15. So after all this time, Ben's lawnmower is worth 75 - 15 = $60. The answer is 60.
[Question]Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
[Answer]
Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets. The answer is 220.
Question: Adam and Tom are brothers. Adam is 8 years old and Tom is 12 years old. In how many years will their combined age be 44 years old?
Answer: At present, the two brothers have a combined age of 8 + 12 = 20 years old. Therefore, 1 year means an increase in the sum of their ages by 1 * 2 = 2 years. Adam and Tom need a total of 44 - 20 = 24 more years to be 44 years old together. So both brothers will be 44 years old together after 24 / 2 = 12 years. The answer is 12.
[Question]A highway is being extended from its current length of 200 miles up to 650 miles. 50 miles are built on the first day, and three times this amount are built on the second day. How many miles still need to be added to the highway to finish extending it?
[Answer]The length of the highway that needs to be constructed is 650 – 200 = 450 miles. After the first day, there are still 450 – 50 = 400 miles that need to be constructed. On the second day, 50 miles * 3 = 150 miles are added to the highway. This means that 400 – 150 = 250 miles still need to be added to the highway. The answer is 250.
Q: Yvonne swims 10 laps in 5 minutes. Her younger sister can swim half as many laps as Yvonne in the same time frame. Their brother Joel can swim three times the number of laps as the youngest sister. How many laps can Joel swim?
A: Yvonne swims 10 laps in 5 minutes and her younger sister swims half as many laps in 5 minutes so she swims 10 / 2 = 5 laps in 5 minutes. Joel can swim 3 times the amount of his youngest sister’s 5 laps so he can swim 3 * 5 = 15 laps in 5 minutes. The answer is 15.
Question: Martin rings the small bell 4 times more than 1/3 as often as the big bell. If he rings both of them a combined total of 52 times, how many times does he ring the big bell?
Answer: Let s be the number of times the small bell rings, and b be the number of times the big bell rings. We know that s + b = 52 and s = 4 + 1 / 3b. Substituting the second equation into the first equation, we get 4 + 1 / 3b + b = 52. Subtracting 4 from both sides, we get 1 / 3b + b = 48. Combining like terms, we get 4 / 3b = 48. Dividing both sides of the equation by 4 / 3, we get b = 36. The answer is 36.
[Question]Ben bought a lawnmower for his garden. He paid $100 for it. After six months, the value of the mower dropped by about 25%. Over the next year, the value of the mower dropped another 20% in value. How much is Ben's lawnmower worth after this time?
[Answer]The first value drop of the lawnmower was 25 / 100 * 100 = $25. So the lawnmower was worth 100 - 25 = $75. Over the next year, the value dropped another 20%, which is 20 / 100 * 75 = $15. So after all this time, Ben's lawnmower is worth 75 - 15 = $60. The answer is 60.
[Question]Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
[Answer]
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Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets. The answer is 220.
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Question: Adam and Tom are brothers. Adam is 8 years old and Tom is 12 years old. In how many years will their combined age be 44 years old?
Answer: At present, the two brothers have a combined age of 8 + 12 = 20 years old. Therefore, 1 year means an increase in the sum of their ages by 1 * 2 = 2 years. Adam and Tom need a total of 44 - 20 = 24 more years to be 44 years old together. So both brothers will be 44 years old together after 24 / 2 = 12 years. The answer is 12.
[Question]A highway is being extended from its current length of 200 miles up to 650 miles. 50 miles are built on the first day, and three times this amount are built on the second day. How many miles still need to be added to the highway to finish extending it?
[Answer]The length of the highway that needs to be constructed is 650 – 200 = 450 miles. After the first day, there are still 450 – 50 = 400 miles that need to be constructed. On the second day, 50 miles * 3 = 150 miles are added to the highway. This means that 400 – 150 = 250 miles still need to be added to the highway. The answer is 250.
Q: Yvonne swims 10 laps in 5 minutes. Her younger sister can swim half as many laps as Yvonne in the same time frame. Their brother Joel can swim three times the number of laps as the youngest sister. How many laps can Joel swim?
A: Yvonne swims 10 laps in 5 minutes and her younger sister swims half as many laps in 5 minutes so she swims 10 / 2 = 5 laps in 5 minutes. Joel can swim 3 times the amount of his youngest sister’s 5 laps so he can swim 3 * 5 = 15 laps in 5 minutes. The answer is 15.
Question: Martin rings the small bell 4 times more than 1/3 as often as the big bell. If he rings both of them a combined total of 52 times, how many times does he ring the big bell?
Answer: Let s be the number of times the small bell rings, and b be the number of times the big bell rings. We know that s + b = 52 and s = 4 + 1 / 3b. Substituting the second equation into the first equation, we get 4 + 1 / 3b + b = 52. Subtracting 4 from both sides, we get 1 / 3b + b = 48. Combining like terms, we get 4 / 3b = 48. Dividing both sides of the equation by 4 / 3, we get b = 36. The answer is 36.
[Question]Ben bought a lawnmower for his garden. He paid $100 for it. After six months, the value of the mower dropped by about 25%. Over the next year, the value of the mower dropped another 20% in value. How much is Ben's lawnmower worth after this time?
[Answer]The first value drop of the lawnmower was 25 / 100 * 100 = $25. So the lawnmower was worth 100 - 25 = $75. Over the next year, the value dropped another 20%, which is 20 / 100 * 75 = $15. So after all this time, Ben's lawnmower is worth 75 - 15 = $60. The answer is 60.
[Question]Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
[Answer]
Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets. The answer is 220.