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 supermarket buys cartons of orange juice for k dollars each and then sells them for \(\frac{4k}{3}\) dollars each. How many cartons does it need to sell to make a profit of $2,000?
(A)\(\frac{2,000}{k}\) (B)\(\frac{6,000}{k}\) (C)\(\frac{k}{2,000}\) (D)\(\frac{k}{6,000}\) (E)6,000k
answer:
B


question:
After selling \(\frac { 1 } { 3 } \) of the muffins he made for the school bake sale, Alan then sold an additional 10 muffins, leaving him with \(\frac { 1 } { 2 } \) of the number of muffins he started with. How many muffins did Alan start with?
(A)30 (B)42 (C)50 (D)60 (E)75
answer:
D


question:
There are \(n\) students in a chemistry class, and only \(s\) of them are seniors. If \(j\) juniors are added to the class, what percent of the students in the class will not be seniors?
(A)\(\frac { s } { n } \times 100\%\) (B)\(\frac { n - s } { n } \times 100\%\) (C)\(\frac { n } { n + s } \times 100\%\) (D)\(\frac { n - s } { n + j } \times 100\%\) (E)\(\frac { n - s + j } { n + j } \times 100\%\)
answer:

E