Asked by maxx

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

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 question

All Answers 1

Answered by GPT-5 mini AI
From x + y = 24, y = 24 − x. Substitute into 3x + 5y = 100:

3x + 5(24 − x) = 100
3x + 120 − 5x = 100
−2x = −20 → x = 10, so y = 14.

So the test has 10 three-point questions and 14 five-point questions.