Jacob has half the number of shoes Edward has. Edward has 3 times the number of shoes Brian has. If Brian has 22 pairs of shoes, how many pairs of shoes do they have in total? Give the rationale and then the answer.
Let's think step by step. Edward has 3 * 22 = 66 pairs of shoes. Jacob has 66 / 2 = 33 pairs of shoes. All of them have 22 + 66 + 33 = 121 pairs of shoes in total.. The answer is: 121.

Whitney's mom gave her two $20 bills to spend at the school book fair. Whitney has decided to buy 2 posters, 3 notebooks, and 2 bookmarks. Each poster costs $5, each notebook costs $4, and each bookmark costs $2. How much money, in dollars, will Whitney have left over after the purchase? Give the rationale and then the answer.
Let's think step by step. Whitney is buying 2 posters for $5 each, so the posters will cost 2 * $5 = $10 total cost for posters. Whitney is buying 3 notebooks for $4 each, so the notebooks will cost 3 * $4 = $12 total cost for notebooks. Whitney is buying 2 notebooks for $2, so the bookmarks 2 * $2 = $4 total cost for bookmarks. Since Whitney is paying $10 for posters, $12 for notebooks, and $4 for bookmarks, her total purchase will cost $10 + $12 + $4 = $26 total purchase cost. Whitney's mom gave her 2 $20 bills, so she will be paying with 2 * $20 = $40 total payment. Since Whitney is paying with $40 and her purchase cost will be $26, she will have $40 - $26 = $14 left over after the purchase.. The answer is: 14.

A group of researchers are studying a colony of penguins. Their results show that the size doubled in the first year they watched the colony, then tripled in the next year. This year, however, harsh conditions meant the colony only gained 129 penguins. The colony has 1077 penguins in it now. Each penguin eats one and a half fish every day. How many fish did the whole colony catch per day to eat at the beginning of the first year? Give the rationale and then the answer.
Let's think step by step. The colony had 1077 - 129 = 948 penguins in it at the beginning of this year. At the beginning of the second year, the colony had 948 / 3 = 316 penguins in it. At the beginning of the first year, it had 316 / 2 = 158 penguins in it. Thus, at the beginning of the first year, the penguin colony was catching 158 * 1 1 / 2 = 237 fish per day.. The answer is: 237.