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: Kim owned \(\$100\). After winning \(\$p\) in one game and losing \(\$q\) in the next game, she owned \(\$80\). What is the value of \(p - q\)?
(A)10 (B)20 (C)30 (D)-10 (E)-20

SOLUTION: E

PROBLEM: 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

SOLUTION: D

PROBLEM: Heidi wrote the number 1 on 1 slip of paper, the number 2 on 2 slips of paper, the number 3 on 3 slips of paper, the number 4 on 4 slips of paper, the number 5 on 5 slips of paper, and the number 6 on 6 slips of paper. All the slips of paper were placed in a bag, and Sally drew 1 slip at random. What is the probability that the number on the slip Sally drew was odd?
(A)\(\frac { 1 } { 9 } \) (B)\(\frac { 1 } { 7 } \) (C)\(\frac { 3 } { 7 } \) (D)\(\frac { 1 } { 2 } \) (E)\(\frac { 4 } { 7 } \)

SOLUTION:
C