Question

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

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 questions.

Answer 1

x+y=24

3x + 5y = 100

Rewrite the first equation: x = 24-y

Replace x in the second equation and solve:

3(24-y) +5y = 100

72-3y +5y = 100

72 +2y = 100

2y = 28

y = 14

Y is the number of 5 point questions, so there are 14 5 point questions.

The answer would be:

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