TASK DEFINITION: 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.
PROBLEM: 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

SOLUTION: D

PROBLEM: Aaron scored 84 points on a test made up of 10 eight-point short-answer questions and 8 five-point multiple-choice questions. If no partial credit was given and he missed 2 short-answer questions, how many questions did Aaron miss on the whole test?
(A)6 (B)10 (C)11 (D)12 (E)20

SOLUTION: A

PROBLEM: At Camp David, there is one adult for every \(p\) campers. If there are \(c\) campers in each tent group, how many adults are needed for \(t\) tent groups?
(A)\(\frac { cp } { t } \) (B)\(\frac { pt } { c } \) (C)\(\frac { ct } { p } \) (D)\(pct\) (E)\(pc + t\)

SOLUTION:
C