Question

What sentence represents the number of points in the problem below?

A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
OA. The number of multiple-choice question points plus the number of
short-answer question points is 15.
OB. The number of multiple-choice question points times the number
of short-answer question points is 60.
C. The number of multiple-choice question points plus the number of
short-answer question points is 60.
OD. The number of multiple-choice question points minus the number
of short-answer question points is 15.

Answer 1

C.) The number of multiple choice question points plus the number of short-answer question points is 60.

Explanation:

Let,

x = # of multiple choice questions

y = # of short-answer questions

If multiple choice questions are worth 2 points (2x), short-answer questions are worth 5 points (5y), and there are 60 points total, one equation to determine how many questions would make up the test is:

2x + 5y = 60

This equation details the number of points each type of question would contribute to the overall total (60).

We also know that the number of total tests must equal:

x + y = 15

This equation details how many of each type of question are included in the test (15).

Therefore, the only statement that makes sense is "The number of multiple choice question points plug the number of short-answer question points is 60." The number 60 is associated with the total points, whereas the number 15 is associated with the total questions.