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:
The number of students who order hot lunch by the month at the Tucker Elementary School varies directly with the number of times pizza appears on the lunch menu during that month. If 135 students order hot lunch when pizza appears three times on the menu, how many students order hot lunch when pizza appears eight times on the menu?
(A)260 (B)295 (C)325 (D)360 (E)405
answer:
D


question:
In a class, 20 children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay \$1.50 more. How much, in dollars, did the present cost?
(A)50 (B)80 (C)100 (D)120 (E)150
answer:

D