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.

Input: Consider Input: A certain brand of soup contains 10 percent tomato paste by volume. Which of the following expressions represents the percent of tomato paste by volume in a mixture of s cups of soup and w cups of water?
(A)\(\frac{10s}{w}\)\% (B)\(\frac{10}{s + w}\)\% (C)\(\frac{s + w}{10}\)\% (D)\(\frac{10s}{s + w}\)\% (E)\(\frac{s}{10(s + w)}\)\%

Output: D


Input: Consider Input: The spare change on a dresser is composed of pennies, nickels, and dimes. If the ratio of pennies to nickels is 2:3 and the ratio of pennies to dimes is 3:4, what is the ratio of nickels to dimes?
(A)9:8 (B)5:7 (C)4:5 (D)3:4 (E)2:3

Output: A


Input: Consider Input: Peter bikes on a 100 mile path at an average of 10 miles per hour for the first \(k\) hours. In terms of \(k\), how many miles remain to be traveled?
(A)\(10k\) (B)\(40k\) (C)\(10(10 - k)\) (D)\(100(10 - k)\) (E)\(10(k - 100)\)


Output: C