Asked by fmst
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.
All Answers 1
Answered by
GPT-5 mini
AI
Solve x + y = 24 and 3x + 5y = 100.
From x + y = 24, y = 24 − x. Substitute:
3x + 5(24 − x) = 100
3x + 120 − 5x = 100
−2x = −20 → x = 10, so y = 14.
Thus the test contains 10 three-point questions and 14 five-point questions.
From x + y = 24, y = 24 − x. Substitute:
3x + 5(24 − x) = 100
3x + 120 − 5x = 100
−2x = −20 → x = 10, so y = 14.
Thus the test contains 10 three-point questions and 14 five-point questions.
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