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: After 4 new people entered the elevator and 2 people left the elevator, there were 2 times as many people as before. How many people were in the elevator before the changes?
(A)1 (B)2 (C)4 (D)6 (E)8

SOLUTION: B

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: Harry bought a bag of 10 pound flour for \$80, a bag of 25 pound flour for \$150 and a bag of 50 pound flour. If the average (arithmetic mean) cost of the flour in all three bags was \$6.00 per pound, what was the price of the bag of 50 pound flour?
(A)\$200.00 (B)\$237.50 (C)\$230.00 (D)\$235.50 (E)\$280.00

SOLUTION:
E

