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?
His old apartment cost 1200 * 12 = $14,400 per year. His new apartment 1200 * 1.4 = $1680 per month. That means it cost 1680 / 3 = $560 per month. So it cost 560 * 12 = $6720. So he saves 14400 - 6720 = $7680.
The answer: 7680
Reverse engineering the question: John and his two brothers decide to split the cost of an apartment. It is 40% more expensive than John's old apartment which costs $1200 per month. How much does John save per year by splitting the apartment compared to living alone?
Reasoning and answer: He spent a total of 8 * $12 + 4 * $18 = $168. He bought a total of 8 + 4 = 12 movies. The average price is $168 / 12 = $14 per movie.
The answer: 14
What was the question?
Question: Chris bought 8 movies on DVD for $12 each and 4 movies on Blu-ray for $18 each. What is the average price he paid per movie?
Jennifer's home is 5 miles away from the first museum, so the round trip back and forth is 5 miles there + 5 miles back = 10 miles altogether. On another day Jennifer goes to a museum 15 miles away + 15 miles to return home = 30 miles total. Combined, Jennifer travels 10 miles on the first day + 30 miles on the second day = 40 miles Jennifer travels total.
The answer: 40
Reverse engineering the question: Jennifer wants to go to a museum. There is one 5 miles away from her home and one 15 miles away. If Jennifer goes to both museums on two separate days, how many miles total will she travel?
Reasoning and answer: The second patient needs 6 + 5 = 11 sessions. The first two patients need 6 + 11 = 17 sessions total. 25 - 17 = 8 sessions.
The answer: 8
What was the question?
Question: A psychiatrist has 4 patients that need 25 sessions in total. One of the patients needs 6 sessions. Another patient needs 5 more than that. How many sessions would the remaining patients need?
Reasoning and answer: Ignatius has 8 tires because 2 x 4 = 8. His friend has 24 tires because 3 x 8 = 24. There are 20 bicycle wheels because 24 - 1 - 3 = 20. He has 10 bicycles because 20 / 2 = 10.
The answer: 10
What was the question?
Question:
Ignatius owns 4 bicycles. A friend of his owns different types of cycles, which have three times are many tires as Ignatius's bikes have. He has one unicycle, a tricycle, and the rest are bikes. How many bicycles does the friend own?