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.
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Question: Problem: ms. harris invested in fund x and fund b. the total amount she invested, in both funds combined, was $ 100000. in one year, fund x paid 23 % and fund b paid 17 %. the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x. how much did ms. morris invest in fund x ?
Options: a. $ 32000, b. $ 36000, c. $ 40000, d. $ 42000, e. $ 45,000

Answer: d

Question: Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month ?
Options: a. 20, b. 30, c. 35, d. 40, e. 55

Answer: d

Question: Problem: a cyclist traveled for two days. on the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. if during the two days she traveled a total of 210 miles and spent a total of 12 hours traveling, what was her average speed on the second day ?
Options: a. 5 mph, b. 10 mph, c. 20 mph, d. 30 mph, e. 40 mph

Answer:
d