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: a bag has 9 green balls and 23 pink balls. how many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1: 1 ?
Options: a. 10, b. 11, c. 12, d. 13, e. 14
answer:
e

question:
Problem: if the sides of a cube are in the ratio 5: 3. what is the ratio of their diagonals ?
Options: ['a. 5: 9', 'b. 9: 3', 'c. 5: 4', 'd. 3: 5', 'e. 5: 3']
answer:
e

question:
Problem: 4 athletes, wendy, michelle, brenda, and jamal, scored in a soccer ( football ) game. if michelle scored 1 more goal than brenda did, jamal scored 3 less than wendy did, and wendy scored 3 more than michelle did, how many fewer goals did brenda score than jamal ?
Options: a. - 8, b. - 6, c. - 2, d. - 1, e. - 3
answer:
d