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?
Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $112,000. On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $134,400.
The answer: 134400
Reverse engineering the question: Roberto recently received a 20% raise from his previous salary, which was already 40% higher than his starting salary. If Roberto's starting salary was $80,000, what is his current salary?
Reasoning and answer: In the bottom half of the igloo, there are 10 rows / 2 = 5 rows of bricks of snow. So in the bottom half of the igloo, there are 5 rows * 12 bricks of snow in each row = 60 bricks of snow. In the top half of the igloo, there are 5 rows * 8 bricks of snow in each row = 40 bricks of snow. There is therefore a total of 60 + 40 = 100 bricks of snow in the igloo.
The answer: 100
What was the question?
Question: Libby is building an igloo in her backyard using bricks of snow. She builds her igloo in rows, using a total of 10 rows of bricks of snow. The bottom half of the igloo has 12 bricks of snow in each row while the top half of the igloo has 8 bricks of snow in each row. How many bricks of snow did Libby use for her igloo?
First find the number of nuts the two busy squirrels gather per day: 2 squirrels * 30 nuts / day / squirrel = 60 nuts / day. Then add the number the sleepy squirrel gathers each day: 60 nuts / day + 20 nuts / day = 80 nuts / day. Then multiply the number of nuts gathered daily by the number of days to find the total number of nuts gathered: 80 nuts / day * 40 days = 3200 nuts.
The answer: 3200
Reverse engineering the question: Mason opens the hood of his car and discovers that squirrels have been using his engine compartment to store nuts. If 2 busy squirrels have been stockpiling 30 nuts/day and one sleepy squirrel has been stockpiling 20 nuts/day, all for 40 days, how many nuts are in Mason's car?
Reasoning and answer: There are 3 bouquets. The total is the average times the number of bouquets, or 12 * 3 = 36. There are 9 + 14 = 23 accounted for. The third included 36 - 23 = 13 carnations.
The answer: 13
What was the question?
Question: Trevor buys three bouquets of carnations. The first included 9 carnations, and the second included 14 carnations. If the average number of carnations in the bouquets is 12, how many carnations were in the third bouquet?
Reasoning and answer: There are a total of 15 x 3 = 45 hats in 3 bags. Since 5 tore off, only 45 - 5 = 40 hats were left. Thus, 40 - 25 = 15 hats were unused.
The answer: 15
What was the question?
Question:
Miggy's mom brought home 3 bags of birthday hats. Each bag has 15 hats. Miggy accidentally tore off 5 hats. During the party, only 25 hats were used. How many hats were unused?