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HELP! 15 pts!

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?


A. The test contains 4 three-point questions and 20 five-point questions.

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

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

D. The test contains 20 three-point questions and 8 five-point questions.

Answer :

Sarah06109

Answer: B

Step-by-step explanation:

To solve the system of equations, use substitution.

x+y =24

Subtract x on both sides

y=-x+24

We can now substitute -x+24 in for y in the second equation.

3x+5y=100

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

Distribute the 5

3x-5x+120=100

Subtract the 120 on both sides

-2x=-20

Divide by 2 on both sides

x=10

Substitute 10 in for x in the first equation.

x+y=24

10+y=24

Subtract 10 inches on both sides

y=14

So there are 10 3point questions and 14 5 point questions, so choice B

Hope this helped!

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