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: Phil's Phone Shop sells three models of cellular phones, priced at \$100, \$125, and \$225. In January, Phil sold exactly the same number of each model. What percent of the total income from the sales of cellular phones was attributable to sales of the cheapest model?
(A)\(22\frac { 2 } { 9 } \%\) (B)\(28\frac { 4 } { 7 } \%\) (C)\(33\frac { 1 } { 3 } \%\) (D)\(44\frac { 4 } { 9 } \%\) (E)It cannot be determined from the information given.
Example Output: A

Example Input: A bag of candy contains chocolate hearts, vanilla hearts and gumballs. The number of pieces of heart-shaped candy is 5 times the number of gumballs. If one piece of candy is to be chosen at random from the bag, the probability that a vanilla heart is chosen is 4 times the probability that a chocolate heart will be chosen. If there are 16 vanilla hearts in the bagm what is the total number of pieces of candy in the bag?
(A)48 (B)44 (C)36 (D)24 (E)20
Example Output: D

Example 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)\(\frac{s}{10(s + w)}\)\%
Example Output:
D