Question

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5

points. x is the number of 3-point questions and y is the number of 5-point questions, the system shown
represents this situation
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions
The test contains 20 three-point questions and 8 five-point questions.

Answer 1

The test contains 10 three-point questions and 14 five-point questions.

Explanation:

The problem statement here does not tell you the solution to the system. It is ...

(x, y) = (10, 14)

__

To choose the correct answer, you only need to realize that the number of 3-point questions must be a multiple of 5, since that is the only way that the total number of points will be a multiple of 5. Of course, the total number of questions must be 24 (eliminates the last answer choice).

The only viable answer choice with the number of 3-point questions being a multiple of 5 is ...

The test contains 10 three-point questions and 14 five-point questions.