instruction:
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: 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: bottle r contains 350 capsules and costs $ 6.25. bottle t contains 130 capsules and costs $ 2.99. what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ?
Options: a. $ 0.25, b. $ 0.12, c. $ 0.0052, d. $ 0.003, e. $ 0.002
answer:
c


question:
Problem: at a certain university, 66 % of the professors are women, and 70 % of the professors are tenured. if 90 % of the professors are women, tenured, or both, then what percent of the men are tenured ?
Options: a. 25, b. 37.5, c. 60, d. 62.5, e. 75
answer:

c