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.
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Question: If 60 percent of Jared's jigsaw puzzles have 50 pieces and 40 percent of his jigsaw puzzles have 30 pieces each, what is the average (arithmetic mean) number of pieces per puzzle?
(A)36 (B)38 (C)40 (D)42 (E)44

Answer: D


Question: If a solution of iodine and alcohol contains 4 ounces of iodine and 16 ounces of alcohol, how many ounces of alcohol must evaporate so that the ratio of iodine to the solution is 2 to 3?
(A)6 (B)7 (C)8 (D)10 (E)14

Answer: E


Question: Some boys and girls were having a car wash to raise money for a class trip. Initially, \(\frac { 2 } { 5 } \) of the group were girls. Shortly thereafter two girls left and two boys entered, then \(\frac { 1 } { 3 } \) of the group are girls. How many girls were initially in the group?
(A)8 (B)10 (C)12 (D)14 (E)20

Answer:
C