Reasoning and answer: Let S be the number of systems Rodney sold on the first street. He sold 2S systems on the second street. Based on his commission, he sold 175 / 25 = 7 systems. In all, he sold S + 2S + 0 + 1 = 3S + 1 = 7 systems. On the first and second streets, he sold 3S = 7 - 1 = 6 systems. Thus, on the first street he sold S = 6 / 3 = 2 systems. On the second street, Rodney sold 2 * 2 = 4 security systems.
The answer: 4
What was the question?
Question: Rodney is a door-to-door salesman trying to sell home security systems. He gets a commission of $25 for each system he sells. He is canvassing a neighborhood of four streets with eight houses each. The first street gave him half the sales that the second street did, while every house on the third street turned him away and the fourth street resulted in only one sale. His total commission was $175. How many security systems did he sell on the second street?


Augustus and Luna can make a total of 3 + 7 = 10 milkshakes per hour. Therefore, they made a total of 10 x 8 = 80 milkshakes in 8 hours.
The answer: 80
Reverse engineering the question: Augustus can make 3 milkshakes per hour while Luna can make 7 milkshakes per hour. If Augustus and Luna have been making milkshakes for 8 hours now, how many milkshakes have they made?


Reasoning and answer: Each bicycle has 2 wheels, so there are a total of 4 * 2 = 8 wheels in the garage as there are 4 bicycles. Since each wheel has 10 spokes, this means there are 8 * 10 = 80 spokes in total.
The answer: 80
What was the question?
Question: Billy's family likes to keep their bicycles stored in the garage when they're not being used. They own a total of 4 bicycles. Each bicycle wheel has 10 spokes. How many spokes are inside the garage?


The best player averages 5 hits a game because 25 / 5 = 5. The rest of the team averages 10 hits a game because 15 - 5 = 10. The rest of the players average 1 hit a game because 10 / 10 = 1. They will average 6 hits per player over the next 6 games because 6 x 1 = 6.
The answer: 6
Reverse engineering the question: A baseball team has averaged 15 hits per game over their first 5 games. There are 11 players on the team. Their best player has 25 total hits. If the other players continue their average over the next 6 games, how many hits will each player average across the 6 games in total?


Reasoning and answer: The total cost of maths books is 4 * 20 = $80$. She bought six more science books than maths books which totals 6 + 4 = 10 books. If each science book cost her $10 she spent 10 * 10 = $100 on science books. There were twice as many art books as maths books which total 2 * 4 = 8. The total cost for art books is 8 * 20 = $160. The total amount that she used for maths, science, and art books is 160 + 100 + 80 = $340. The amount she spent on music books is 500 - 340 = $160.
The answer: 160
What was the question?
Question: June has $500 for buying school supplies for the new school year. She buys four maths books at $20 each, six more science books than maths books at $10 each, and twice as many art books as maths books at $20 each. If she also bought music books, how much money did she spend on music books?


Reasoning and answer: Twice 1.5 hours is 2 * 1.5 = 3 hours. Thus, on that day, it took Matthew 1 + 3 + 1 = 5 hours to make the cakes.
The answer: 5
What was the question?
Question:
Matthew, the baker, arrives at work early every morning to make his famous caramel-apple coffee cakes for the day. It usually takes Matthew 1 hour to assemble ingredients, 1.5 hours to bake the cakes, and another 1 hour to decorate each cake with cinnamon sprinkles. One day, Matthew's oven failed to reach the correct temperature and it took twice as long for the cakes to bake as they usually take. On that day, how long did it take, in hours, for Matthew to make his famous caramel-apple coffee cakes?