Question

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
Este 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

Answer:

x+y=24 so we can say

x=24-y making 3x+5y=100 become

3(24-y)+5y=100

72-3y+5y=100

72+2y=100

2y=28

y=14, since x=24-y

x=10

So there are 10 3-point questions and 14 5-point questions.

Answer 2

Systems of Equation

x = -y + 24

3x + 5y = 100

Find for x

3(-y + 24) + 5y = 100

-3y + 72 + 5y = 100

2y + 72 = 100

2y = 28

y =14

Find for y

x + 14 = 24

x = 10

Answer

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