[Question]Daria is raising money for a new vacuum cleaner. So far, she has collected $20 in her piggy bank and has decided to put $10 in it each week. If the vacuum cleaner costs $120, how many weeks will it take her to raise enough money to cover this expense?
[Answer]The vacuum cleaner costs $120, so Daria needs 120 - 20 = $100 more. Daria will need 100 / 10 = 10 more weeks, to be able to buy the vacuum cleaner. The answer is 10.
Q: Michael wants to dig a hole 400 feet less deep than twice the depth of the hole that his father dug. The father dug a hole at a rate of 4 feet per hour. If the father took 400 hours to dig his hole, how many hours will it take for Michael to dig a hole that is 400 feet less than twice as deep as his father's hole working at the same rate?
A: Since the father dug a hole with a rate of 4 feet per hour, if the father took 400 hours digging the hole, he dug a hole 4 * 400 = 1600 feet deep. Twice the depth of the hole that Michael's father dug is 2 * 1600 = 3200 feet. Michael wants to dig a hole 400 feet less than twice the depth of the hole that his father dug, meaning he wants to dig a hole 3200 - 400 = 2800 feet deep. To dig a hole that is 400 feet less than twice as deep as his father's hole working at a rate of 4 feet per hour, Michael will have to work for 2800 / 4 = 700 hours. The answer is 700.
Question: Aaron has some brothers. Bennett has 6 brothers. If the number of Bennett's brothers is two less than twice the number of Aaron's brothers, what is the number of Aaron's brothers?
Answer: Twice the number of Aaron's brothers is 6 + 2 = 8. Aaron has 8 / 2 = 4 brothers. The answer is 4.
[Question]Reuben opens a sandwich shop selling his namesake sandwich and pastrami sandwiches. Pastrami cost $2 more than the Reuben. He sells 10 Reubens and 5 Pastrami sandwiches and earns $55. How much does a pastrami sandwich cost?
[Answer]If X = "Price of Reuben" We know that 10(X) + 5(X + 2) = 55. Therefore 10X + 5X + 10 = 55. Therefore 15X = 45. Therefore, the price of a Reuben is $3 because 45 / 15 = 3. The price of pastrami is $5 because 3 + 2 = 5. The answer is 5.
Q: Jill bought 5 packs of red bouncy balls and 4 packs of yellow bouncy balls. Each package contained 18 bouncy balls. How many more red bouncy balls than yellow bouncy balls did Jill buy?
A: Jill bought 5 packs * 18 red balls = 90 red balls. Jill bought 4 packs * 18 yellow balls = 72 red balls. Jill had 90 red 72 yellow = 18 more red balls. The answer is 18.
Question: James gets paid $0.50/mile to drive a truck carrying hazardous waste. He has to pay $4.00/gallon for gas and his truck gets 20 miles per gallon. How much profit does he make from a 600 mile trip?
Answer:
First find the total payment James receives: $0.50 / mile * 600 miles = $300. Then find how many gallons of gas he needs to buy: 600 miles / 20 miles / gallon = 30 gallons. Then multiply that number by the price of gas per gallon to find the total cost of the gas: $4.00 / gallon * 30 gallons = $120. Then subtract that amount from James' earnings to find his profit: $300 - $120 = $180. The answer is 180.