Reasoning and answer: Paul has 10 hours of homework from weekdays because 2 x 5 = 10. He has 15 total hours because 5 + 10 = 15. He has 5 days to do his homework because 7 - 2 = 5. He needs to do 3 hours a night because 15 / 5 = 3.
The answer: 3
What was the question?
Question: Each week, Paul has 2 hours of homework on weeknights and 5 hours for the entire weekend. This week Paul has practice 2 nights out of the week and can't do any homework those nights. How many hours of homework does he have to average for the other nights to get his week's homework done?
Five hotdogs cost 5 x $1.50 = $7.50. Three salads cost 3 x $2.50 = $7.50. The total cost was $7.50 + $7.50 = $15. And, Ursula had 2 x $10 = $20. Therefore, Ursula got a change of $20 - $15 = $5.
The answer: 5
Reverse engineering the question: Ursula bought five hot dogs at $1.50 each and three salads at $2.50 each. If she had two $10 bills, how much change did she get back?
Reasoning and answer: Keith caught 5 x 2 = 10 fish. Therefore, they caught a total of 5 + 10 = 15 fish.
The answer: 15
What was the question?
Question: Keith and Blaine went fishing. Blaine caught 5 fish while Keith caught twice as many as Blaine's. How many fish did they catch together?
Each liter of water holds 1000 mL. Mary's goal is to drink 1.5 liters of water a day, which in mL is 1.5 L * 1000 mL / L = 1500 mL. To reach her goal, Mary should drink 1500 mL / 250 mL / glass = 6 glasses of water per day.
The answer: 6
Reverse engineering the question: To improve her health, Mary decides to drink 1.5 liters of water a day as recommended by her doctor. Mary's glasses hold 250 mL of water. How many glasses of water should Mary drink per day to reach her goal?
Reasoning and answer: Let x be the original number. 2 * x + 5 = 20 + x / 2. 2 * x - x / 2 = 15. 4 * x - x = 30. 3 * x = 30. x = 10.
The answer: 4
What was the question?
Question: If you double a number and add 5 to the result, then that's 20 more than half of the original number. What's the original number?
Reasoning and answer: When Linda's mother gave her 2 more dimes, the total number of dimes increased to 2 + 2 = 4 dimes. She also increased the total number of quarters to 6 + 10 = 16 after her mother gave her 10 more. The total number of dimes and quarters she has is 16 + 4 = 20. Linda's mother also gave her twice as many nickels as she has, a total of 2 * 5 = 10 nickels. The total number of nickels she has increased to 10 + 5 = 15. Altogether, Linda has 20 + 15 = 35 coins.
The answer: 35
What was the question?
Question:
Linda's bag has 2 dimes, 6 quarters, and 5 nickels. Her mother gives her 2 more dimes, 10 quarters, and twice as many nickels as she has. How many coins does she have altogether?