Question: At the bookstore, Sarah bought 6 paperback books and 4 hardback books. Her brother bought one-third as many paperback books as Sarah bought, and two times the number of hardback books that she bought. How many books did her brother buy in total?
Answer: Step-by-step reasoning process: Her brother bought 6 / 3 = 2 paperbacks. He bought 4 * 2 = 8 hardbacks. In total he bought 2 + 8 = 10 books.
So the answer is 10.

Question: At Snowflake Plastics, each employee gets 10 sick days and 10 vacation days per year. If Mark uses half his allotment of both types of days in a year, how many hours' worth of days does he have left if each day covers an 8-hour long workday?
Answer: Step-by-step reasoning process: First, we add the two types of days together to find 10 + 10 = 20 days in total between the two types. We then divide this number in half to find Mark's remaining number of days, getting 20 / 2 = 10 days remaining. Since each day counts as 8 hours, we multiply 10 * 8 = 80 hours' worth of days remaining for Mark.
So the answer is 80.

Question: The ratio of boys to girls in a family is 5:7. The total number of children in the family is 180. If the boys are given $3900 to share, how much money does each boy receive?
Answer: Step-by-step reasoning process: The total ratio representing the number of children in the family is 5 + 7 = 12. From the total ratio of children in the family, 5 / 12 represent the number of boys, meaning that the number of boys in the family is 5 / 12 * 180 = 75. If the boys are given $3900 to share, each boy receives $3900 / 75 = $52.
So the answer is 52.

Question: Martha has 11 butterflies in her collection. She has twice as many blue butterflies as yellow butterflies. The rest of her butterflies are black. If Martha has 5 black butterflies, how many blue butterflies does she have?
Answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Step-by-step reasoning process: Martha has 11 - 5 = 6 blue and yellow butterflies. Martha has 6 / 3 = 2 yellow butterflies. Martha has 2 * 2 = 4 blue butterflies.
So the answer is 4.