He buys 20 * 60 = 1200 minutes of music a month. So that is 1200 / 3 = 400 songs. That means he pays 400 * .5 = $200 a month. So it comes out to 200 * 12 = $2400 a year.
The answer: 2400
Reverse engineering the question: John buys 20 hours of music a month. The average length of a song is 3 minutes. He buys each song for $.50. How much does he pay for music a year?


Reasoning and answer: He increases the time he can run by 8 * .75 = 6 hours. So he can now run 8 + 6 = 14 hours. His speed is now 8 + 4 = 12 mph. So he can run 14 * 12 = 168 miles.
The answer: 168
What was the question?
Question: John trains for ultramarathons. He starts only able to run 8 hours straight but eventually increases that by 75%. He also increases his speed of 8 mph by 4 mph. How far can he run now?


The lawyer worked 50 * 2 = 100 hours out of court. So he worked 100 + 50 = 150 hours total. That means the hourly time cost 150 * 100 = $15000. Adding the upfront cost it was 15000 + 1000 = $16000. His brother paid half so he paid 16000 / 2 = $8000.
The answer: 8000
Reverse engineering the question: John has to hire a lawyer. He pays $1000 upfront. He then gets charged $100 per hour. The lawyer has to work 50 hours in court time. It takes 2 times that long in prep time. His brother pays half the fee. How much did John pay?


Reasoning and answer: Ana charged her phone halfway, so she took 26 / 2 = 13 minutes to charge her phone. Thus, it took Ana 13 + 53 = 66 minutes to charge her phone and tablet.
The answer: 66
What was the question?
Question: A portable battery charger can fully charge a smartphone in 26 minutes or a tablet in 53 minutes. Ana charged her tablet fully and her phone halfway. How many minutes did it take?


The total ratio of goats and sheep on the farm is 5 + 7 = 12. The fraction that represents goats from the total ratio is 5 / 12, and since there are 360 goats and sheep on the farm, the number of goats is 5 / 12 * 360 = 150. The number of sheep on Mr. Mathews's farm is 360 - 150 = 210. Mr. Mathews sold 1 / 2 * 150 = 75 goats. If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75 * $40 = $3000. He also sold 2 / 3 * 210 = 140 of the total sheep on his farm. The income from the sale of the sheep is 140 * $30 = $4200. From the sale of goats and sheep, Mr. Mathews made $4200 + $3000 = $8600.
The answer: 7200
Reverse engineering the question: On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?


They'll need to make an estimated 0.5 * 53 = 26.5 omelets for small children. They'll need to make an estimated 1 * 35 = 35 omelets for older children. They'll need to make an estimated 2 * 75 = 150 omelets for the adults. And they'll need to make an estimated 1.5 * 37 = 55.5 omelets for the seniors. Along with the 25 extra omelets they'll make as a buffer, they will need enough eggs for 26.5 + 35 + 150 + 55.5 + 25 = 292 omelets. So they will need 2 * 292 = 584 eggs.
The answer: 584
Reverse engineering the question:
The Rotary Club is holding its annual fundraising Omelet Breakfast, with tickets sold in advance. The tickets come in different price levels, for young children, older children, adults, and seniors. This year they sold 53 small children tickets, 35 older children tickets, 75 adult tickets, and 37 senior tickets. To figure out how many eggs they need to buy, the club estimates that small children can eat a half omelet, older children can eat a whole omelet, adults will eat two omelets, and seniors will eat one and a half omelets. Just to be on the safe side, they get enough eggs to make 25 extra omelets. If they use 2 eggs for each omelet, how many eggs will they need to buy?