Reasoning and answer: We know that my age divided by three is equal to my age minus six therefore X / 3 = X - 6 where X = My age. This means that X = 3X - 18 because we can multiply both sides by 3. This also means that - 2X = - 18 because we can subtract 3X from the right side. Therefore X = 9 because - 18 / - 2 = 9.
The answer: 9
What was the question?
Question: Today is my birthday and I'm three times older than I was six years ago. What is my age?
First find how many hours of runoff the sewers can handle: 240,000 / 1000 gallons / hour = 240 hours. Then divide that time by the number of hours per day to find how many days of rain the sewers can handle: 240 hours / 24 hours / day = 10 days.
The answer: 10
Reverse engineering the question: The sewers in Middleton can handle 240,000 gallons of run-off. Each hour of rain produces 1000 gallons of runoff. How many days of rain can the sewers handle before they overflow?
Reasoning and answer: If 35% represents 14, then 100 - 35 = 65 represents the amount left of her allowance. The amount she didn't use is 65 * 14 / 35 = 26.
The answer: 26
What was the question?
Question: Mitzel spent 35% of her allowance. If she spent $14, how much money is left in her allowance?
He had to pay for 2 hours of labor, which cost 2 * $75 = $150. So the total cost was $150 + $150 = $300.
The answer: 300
Reverse engineering the question: Mark needs to replace the radiator in his car. The work takes 2 hours and the mechanic charges $75 an hour. The part cost $150. How much did he pay?
Reasoning and answer: At a cost of $12 per bushel, and with 48 apples per bushel, then each apple costs Bronson $12 / 48 = $0.25. If he sells the apples to the stores at $0.40 per apple, then he makes a profit of $0.40 - $0.25 = $0.15 per apple. After selling 100 apples to the store, his profit would be 100 * $0.15 = $15.
The answer: 15
What was the question?
Question: Bronson is an apple dealer. He buys apples from farmers and then transports them to the grocery stores and sells them for profit. He buys individual apples from farmers at a cost of $12 per bushel, and sells them to the stores at a price of $0.40 per apple. If each bushel contains 48 apples, then how much profit, in dollars, does he make after selling 100 apples?
Reasoning and answer: If there are 600 boys at the event, and the difference between boys and girls is 400, there are 600 + 400 = 1000 girls. The total number of boys and girls at the event is 1000 + 600 = 1600. 60% of the total number of boys and girls at the event is 60 / 100 * 1600 = 960.
The answer: 960
What was the question?
Question:
The difference between the number of boys and girls in a tree planting event is 400. If there are 600 boys at the event, and the number of girls is more than the number of boys, what's 60% of the total number of boys and girls at the event?