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: Mrs. James gave a test to her two geometry classes. The 24 students in her first-period class had a class average (arithmetic mean) of 78. The average of the 26 students in her second-period class was 83. What was the average for all students taking the exam?
(A)79.4 (B)80.5 (C)80.6 (D)81.2 (E)81.4

Output: C


Input: Consider Input: If Wally's Widget Works is open exactly 20 days each month and produces 80 widgets each day it is open, how many years will it take to produce 96,000 widgets?
(A)less than 5 (B)5 (C)more than 5 but less than 10 (D)10 (E)more than 10

Output: B


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