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: Selena has two types of records, worth a total of \$41.75. Of her 25 records, b records are worth \$1.25 each and the remaining d records are worth \$2.30 each. Selena has no other types of records . Which of the following sets of equations can be solved to determine how many of each record type Selena has?
(A)\(b + d = 4l.75 3.55(b + d) = 25\) (B)\(3.55 (b + d) = 41.75 l.25(b + d) = 2.30\) (C)\(3.55(b + d) = 41.75 1.25b + 2.30d = 25\) (D)\(b + d = 25 2.30b + 1.25d = 41.75\) (E)\(b + d = 25 1.25b + 2.30d = 41.75\)

SOLUTION: E

PROBLEM: John has more money than Billy but less than Sean. If j, b, and s represent the amounts of money of John, Billy, and Sean, respectively, which of the following is true?
(A)\(b < j < s\) (B)\(s < j < b\) (C)\(j < s < b\) (D)\(j < b < s\) (E)\(b < s < j\)

SOLUTION: A

PROBLEM: A chef prepares a multicourse meal at a client's home. For this service, she charges a base price of \$150, and adds an additional \$20 for each course ordered. If a client orders c courses, which of the following represents the total charge, in dollars, for the meal?
(A)\(170c\) (B)\(150 + c\) (C)\(150c + 20\) (D)\(150 + 20c\) (E)\(170 + 20c\)

SOLUTION:
D