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.

Example Input: One box of muffin mix is sufficient to bake six large muffins or ten mini- muffins. How many boxes are needed to bake 180 muffins, 120 of which are large muffins and the rest of which are mini-muffins?
(A)18 (B)20 (C)22 (D)26 (E)28
Example Output: D

Example Input: Marvin eats 3 bananas and 1 apple every day. If the cost of each banana is b dollars and the cost of each apple is a dollars, which of the following represents the total cost, in dollars, of the bananas and apples Marvin eats in 1 week? (1 week = 7 days).
(A)\(7b + a\) (B)\(21b + a\) (C)\(7(b + a)\) (D)\(7(b + 3a)\) (E)\(7(3b + a)\)
Example Output: E

Example Input: In an airport security line, every 20th person has his bag searched, and every 10th person is asked to put her shoes through a special X-ray machine. Of 100 passengers, what is the probability that a passenger will be asked to put his shoes through the X-ray and have his bag searched?
(A)\(\frac{1}{100}\) (B)\(\frac{1}{50}\) (C)\(\frac{1}{20}\) (D)\(\frac{1}{10}\) (E)\(\frac{1}{5}\)
Example Output:
C