Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
--------
Question: Problem: set s consists of integers { 7, 8, 10, 12, 13 }. if integer n is included in the set, the average ( arithmetic mean ) of set s will increase by 10 %. what is the value of integer n ?
Options: a. 10, b. 12, c. 16, d. 22, e. 24

Answer: c


Question: Problem: a company produces 50000 bottles of water everyday. if a case can hold 25 bottles of water. how many cases are required by the company to hold its one day production
Options: a. 2000, b. 4500, c. 5000, d. 8000, e. 9000

Answer: a


Question: Problem: in an election, candidate douglas won 58 percent of the total vote in counties x and y. he won 64 percent of the vote in county x. if the ratio of people who voted in county x to county y is 2: 1, what percent of the vote did candidate douglas win in county y ?
Options: a. 15 %, b. 18 %, c. 25 %, d. 36 %, e. 46 %

Answer:
e