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: if a / b = 4 / 3, then ( 3 a + 2 b. / ( 3 a - 2 b. = ?
Options: a. 6, b. 3, c. 5, d. - 1, e. none

Answer: b


Question: Problem: when jessica withdrew $ 200 from her bank account, her account balance decreased by 2 / 5. if she deposits an amount equal to 2 / 3 of the remaining balance, what will be the final balance in her bank account ?
Options: a. 300, b. 375, c. 400, d. 500, e. 575

Answer: d


Question: Problem: in a family gathering, there is a basket in which there are oranges, bananas and apples. half of the people in the family eat oranges, half of the other half eat bananas and the rest eat apples. if the number of people who eat oranges are 10 less than the total number of people, find the number of people in the gathering.
Options: a. 5, b. 10, c. 15, d. 20, e. 25

Answer:
d