instruction:
You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.
question:
A bag contains two white marbles, four blue marbles, and an unknown number of black marbles. When one marble is drawn from the bag at random, the probability that the marble is black will be \(\frac { 1 } { 3 } \). How many black marbles are in the bag?
(A)3 (B)4 (C)5 (D)6 (E)8
answer:
A


question:
One-half of the water in a pond evaporates each week. There are 2,400 gallons of water in the pond at the end of the third week. In gallons, how much less water is in the pond at the end of seventh week than at the end of the third week?
(A)2,250 (B)1,975 (C)1,800 (D)950 (E)150
answer:
A


question:
John has more money than Billy but less than Sean. If j, b, and s represent the amounts of money of John, Billy, and Sean, respectively, which of the following is true?
(A)\(b < j < s\) (B)\(s < j < b\) (C)\(j < s < b\) (D)\(j < b < s\) (E)\(b < s < j\)
answer:

A