Question: Leila spent $40 which is 1/4 of her money on a sweater. She was then left with $20 after spending the rest of her money on buying pieces of jewelry. How much more did Leila spend on jewelry than on the sweater?
Answer: Since 1 / 4 of her money is $40, then Leila originally had $40 x 4 = $160. $160 - $40 = $120 was left after buying a sweater. Since she is left with $20, Leila spent $120 - $20 = $100 on jewelry. Therefore, she spent $100 - $40 = $60 more for jewelry than on a sweater. The answer is 60.
[Question]Penelope the pig eats 20 pounds of food per day, which is 10 times more than Greta the goose eats per day. Milton the mouse eats 1/100 as much as Greta the goose eats per day, but Elmer the elephant eats 4000 times more than Milton the mouse does per day. How much more, in pounds, does Elmer the elephant eat per day than Penelope the pig?
[Answer]Greta the goose eats 20 / 10 = 2 pounds of food per day. Milton the mouse eats (1 / 100) * 2 = 1 / 50 of a pound of food per day. Elmer the elephant eats 4000 * (1 / 50) = 80 pounds of food per day. Thus, Elmer eats 80 - 20 = 60 pounds more food per day than does Penelope the pig. The answer is 60.
Q: Bill and Jean are both cleaning out their garages. Bill makes a certain number of trips to the dump and Jean makes that many trips plus 6. If they make 40 trips total, how many trips does Jean make?
A: Let b be the number of trips Bill makes and j be the number Jean makes. We know that b + j = 40, and j = b + 6. Substituting the first equation into the second equation, we get b + b + 6 = 40. Combining like terms, we get 2b + 6 = 40. Subtracting 6 from both sides, we get 2b = 34. Dividing both sides by 2, we get b = 17. Substituting that value back into j = b + 6, we get j = 17 + 6 = 23. The answer is 23.
Question: Elizabeth, Emma, and Elsa went shopping on Wednesday. In total Emma spent $58 If Elsa spent twice as much as Emma, and Elizabeth spent four times as much as Elsa, how much money did they spend in total?
Answer: Elsa spent 58 * 2 = 116. Elizabeth spent 116 * 4 = 464. Emma, Elsa, and Elizabeth spent 58 + 116 + 464 = 638 in total. The answer is 638.
[Question]A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours?
[Answer]It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters – 90 liters = 90 liters of water left in the pool. The answer is 90.
[Question]Clyde and Grace are building block towers. Grace’s tower is 8 times the size of Clyde’s at 40 inches tall. How many inches taller is Grace’s tower than Clyde’s?
[Answer]
Clyde’s tower is 1 / 8 the size of Grace’s tower or 40 inches / 8 = 5 inches tall. Grace’s tower is 40 inches – 5 inches = 35 inches taller than Clyde’s. The answer is 35.
Question: Leila spent $40 which is 1/4 of her money on a sweater. She was then left with $20 after spending the rest of her money on buying pieces of jewelry. How much more did Leila spend on jewelry than on the sweater?
Answer: Since 1 / 4 of her money is $40, then Leila originally had $40 x 4 = $160. $160 - $40 = $120 was left after buying a sweater. Since she is left with $20, Leila spent $120 - $20 = $100 on jewelry. Therefore, she spent $100 - $40 = $60 more for jewelry than on a sweater. The answer is 60.
[Question]Penelope the pig eats 20 pounds of food per day, which is 10 times more than Greta the goose eats per day. Milton the mouse eats 1/100 as much as Greta the goose eats per day, but Elmer the elephant eats 4000 times more than Milton the mouse does per day. How much more, in pounds, does Elmer the elephant eat per day than Penelope the pig?
[Answer]Greta the goose eats 20 / 10 = 2 pounds of food per day. Milton the mouse eats (1 / 100) * 2 = 1 / 50 of a pound of food per day. Elmer the elephant eats 4000 * (1 / 50) = 80 pounds of food per day. Thus, Elmer eats 80 - 20 = 60 pounds more food per day than does Penelope the pig. The answer is 60.
Q: Bill and Jean are both cleaning out their garages. Bill makes a certain number of trips to the dump and Jean makes that many trips plus 6. If they make 40 trips total, how many trips does Jean make?
A: Let b be the number of trips Bill makes and j be the number Jean makes. We know that b + j = 40, and j = b + 6. Substituting the first equation into the second equation, we get b + b + 6 = 40. Combining like terms, we get 2b + 6 = 40. Subtracting 6 from both sides, we get 2b = 34. Dividing both sides by 2, we get b = 17. Substituting that value back into j = b + 6, we get j = 17 + 6 = 23. The answer is 23.
Question: Elizabeth, Emma, and Elsa went shopping on Wednesday. In total Emma spent $58 If Elsa spent twice as much as Emma, and Elizabeth spent four times as much as Elsa, how much money did they spend in total?
Answer: Elsa spent 58 * 2 = 116. Elizabeth spent 116 * 4 = 464. Emma, Elsa, and Elizabeth spent 58 + 116 + 464 = 638 in total. The answer is 638.
[Question]A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours?
[Answer]It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters – 90 liters = 90 liters of water left in the pool. The answer is 90.
[Question]Clyde and Grace are building block towers. Grace’s tower is 8 times the size of Clyde’s at 40 inches tall. How many inches taller is Grace’s tower than Clyde’s?
[Answer]
user
Clyde’s tower is 1 / 8 the size of Grace’s tower or 40 inches / 8 = 5 inches tall. Grace’s tower is 40 inches – 5 inches = 35 inches taller than Clyde’s. The answer is 35.
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Question: Leila spent $40 which is 1/4 of her money on a sweater. She was then left with $20 after spending the rest of her money on buying pieces of jewelry. How much more did Leila spend on jewelry than on the sweater?
Answer: Since 1 / 4 of her money is $40, then Leila originally had $40 x 4 = $160. $160 - $40 = $120 was left after buying a sweater. Since she is left with $20, Leila spent $120 - $20 = $100 on jewelry. Therefore, she spent $100 - $40 = $60 more for jewelry than on a sweater. The answer is 60.
[Question]Penelope the pig eats 20 pounds of food per day, which is 10 times more than Greta the goose eats per day. Milton the mouse eats 1/100 as much as Greta the goose eats per day, but Elmer the elephant eats 4000 times more than Milton the mouse does per day. How much more, in pounds, does Elmer the elephant eat per day than Penelope the pig?
[Answer]Greta the goose eats 20 / 10 = 2 pounds of food per day. Milton the mouse eats (1 / 100) * 2 = 1 / 50 of a pound of food per day. Elmer the elephant eats 4000 * (1 / 50) = 80 pounds of food per day. Thus, Elmer eats 80 - 20 = 60 pounds more food per day than does Penelope the pig. The answer is 60.
Q: Bill and Jean are both cleaning out their garages. Bill makes a certain number of trips to the dump and Jean makes that many trips plus 6. If they make 40 trips total, how many trips does Jean make?
A: Let b be the number of trips Bill makes and j be the number Jean makes. We know that b + j = 40, and j = b + 6. Substituting the first equation into the second equation, we get b + b + 6 = 40. Combining like terms, we get 2b + 6 = 40. Subtracting 6 from both sides, we get 2b = 34. Dividing both sides by 2, we get b = 17. Substituting that value back into j = b + 6, we get j = 17 + 6 = 23. The answer is 23.
Question: Elizabeth, Emma, and Elsa went shopping on Wednesday. In total Emma spent $58 If Elsa spent twice as much as Emma, and Elizabeth spent four times as much as Elsa, how much money did they spend in total?
Answer: Elsa spent 58 * 2 = 116. Elizabeth spent 116 * 4 = 464. Emma, Elsa, and Elizabeth spent 58 + 116 + 464 = 638 in total. The answer is 638.
[Question]A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours?
[Answer]It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters – 90 liters = 90 liters of water left in the pool. The answer is 90.
[Question]Clyde and Grace are building block towers. Grace’s tower is 8 times the size of Clyde’s at 40 inches tall. How many inches taller is Grace’s tower than Clyde’s?
[Answer]
Clyde’s tower is 1 / 8 the size of Grace’s tower or 40 inches / 8 = 5 inches tall. Grace’s tower is 40 inches – 5 inches = 35 inches taller than Clyde’s. The answer is 35.