Reasoning and answer: The fixer used 30 / 100 * 400 = 120 nails to fix the kitchen. The number of nails remaining in the container after he fixes the kitchen is 400 - 120 = 280. He also uses 70 / 100 * 280 = 196 of the nails remaining in the container to fix the fence. The total number of nails which the fixer hasn't used is 280 - 196 = 84.
The answer: 84
What was the question?
Question: A fixer uses 30% of the nails in a container to repair the kitchen. He also used 70% of the remaining nails in the container to repair the fence. If there were 400 nails in the container, how many nails are remaining?


Lisa makes 2 eggs / child x 4 children = 8 eggs for her children. She makes 3 eggs for her husband + 2 for herself + 8 for her children = 13 eggs. Lisa makes breakfast 5 days a week for 52 weeks a year, so 5 * 52 = 260 breakfasts. So Lisa makes 13 eggs / breakfast x 260 breakfasts = 3,380 eggs.
The answer: 3380
Reverse engineering the question: Lisa makes breakfast for her family every morning, Monday through Friday. She makes 2 eggs for each of her 4 children and 3 eggs for her husband. Then, she makes 2 eggs for herself. How many eggs does Lisa cook for her family for breakfast in a year?


Reasoning and answer: First find the total time Bill spends chopping peppers: 4 peppers * 3 minutes / pepper = 12 minutes. Then find the total time Bill spends chopping onions: 2 onions * 4 minutes / onion = 8 minutes. Then find the combined time to grate cheese for and cook each omelet: 5 + 1 minute / omelet = 6 minutes. Then multiply the time per omelet by the number of omelets: 5 omelets * 6 minutes / omelet = 30 minutes. Then add the cook time to the chopping time to find the total time Bill spends: 30 minutes + 12 minutes + 8 minutes = 50 minutes.
The answer: 50
What was the question?
Question: Bill is making omelets for his family's breakfast. It takes him 3 minutes to chop a pepper, 4 minutes to chop an onion, and 1 minute to grate enough cheese for one omelet. It takes him 5 minutes to assemble and cook the omelet. If he needs to chop up four peppers, two onions, and also grates cheese for cooking each of five omelets, how long will he spend preparing for and cooking the five omelets?


Jessica will drive 20 minutes, twice every school day (to and from school), so 20 minutes x 2 trips = 40 minutes each day. There are 60 minutes in 1 hour, so 50 hours of driving x 60 minutes / hour = 3,000 minutes. If you take the 3,000 minutes she needs to drive / 40 minutes driving each day = 75 school days to drive 50 hours.
The answer: 75
Reverse engineering the question: Jessica just got her driving permit. She must complete 50 hours of driving with a parent to get her driver’s license. It takes 20 minutes to drive to school. If she drives to and from school every day, how many school days will it take Jessica to meet the 50-hour driving requirement?


Reasoning and answer: In total, there are 4 x 4 = 16 pizza pieces. Bill and Dale eat 2 x 4 x 50% = 4 pieces. Ann and Cate eat 2 x 4 x 75% = 6 pieces. The four of them eat 4 + 6 = 10 pieces. There are 16 - 10 = 6 pizza pieces uneaten.
The answer: 6
What was the question?
Question: Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?


Reasoning and answer: If 1 / 4 inch on the map represents 8 miles on real land, 1 inch represents 4 * 8 = 32 miles. Since 1 inch represents 32 miles, 3 inches represent 3 * 32 = 96 miles. 1 / 4 inch represents 8 miles, 1 / 8 inch represents 8 / 2 = 4 miles because 1 / 8 is half of 1 / 4. If 1 / 8 inch represents 4 miles, 3 / 8 of an inch represents 3 * 4 = 12 miles. This means 3 3 / 8 inches on the map translate to 96 + 12 = 108 miles.
The answer: 108
What was the question?
Question:
On a road map, 1/4 inch represents 8 miles of actual road distance. The towns of Pence and Hillcrest are represented by points 3 3/8 inches apart on the map. What is the actual distance, in miles, between the towns?