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: By noon, \(\frac{1}{4}\) of Company X's employees had arrived to work. An hour later, 30 more employees had arrived, raising total attendance to \(\frac{1}{2}\) of the total staff. How many employees work for Company X?
(A)30 (B)45 (C)60 (D)120 (E)135

Output: D


Input: Consider Input: If \(p\) items can be purchased for 60 dollars, how many items can be purchased for \(w\) dollars?
(A)\(\frac { wp } { 60 } \) (B)\(\frac { w } { 60p } \) (C)\(\frac { 60p } { w } \) (D)\(\frac { 60 } { wp } \) (E)\(\frac { 60w } { p } \)

Output: A


Input: Consider Input: In 2000, the cost of p pounds of potatoes was d dollars. In 2010, the cost of 2p pounds of potatoes was \(\frac { 1 } { 2 } d\) dollars. By what percent did the price of potatoes decrease from 2000 to 2010?
(A)25\% (B)50\% (C)75\% (D)100\% (E)400\%


Output: C