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: The estate of a wealthy man was distributed as follows: 10\% to his wife, 5\% divided equally among his three children, 5\% divided equally among his five grandchildren, and the balance to a charitable trust. If the trust received \$1,000,000, how much did each grandchild inherit?
(A)\$10,000 (B)\$12,500 (C)\$20,000 (D)\$62,500 (E)\$100,000

Output: B


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: Bill has to type a paper that is p pages long, in which each page contains w words. If Bill types an average of x words per minute, how many hours will it take him to finish the paper?
(A)\(\frac{wp}{60x}\) (B)\(\frac{wpx}{60}\) (C)\(\frac{60wp}{x}\) (D)\(\frac{wx}{60p}\) (E)60wpx


Output: A