instruction:
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.
question:
What was the initial amount of water in a barrel, in liters, if there are now x liters, y liters were lost, and 6 liters were added?
(A)\(x + y - 6\) (B)\(y - x + 6\) (C)\(x + y + 6\) (D)\(y - x - 6\) (E)\(x - y + 6\)
answer:
A


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


question:
There are 5 red, 5 green, 5 blue, and 5 yellow hats packaged in 20 identical, unmarked boxes, with 1 hat per box. What is the least number of boxes that must be selected in order to be sure that among the boxes selected, 4 or more contain hats of the same color?
(A)4 (B)8 (C)9 (D)12 (E)13
answer:

E