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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.

Respuesta :

The answer would be C.
larrysingleton0
x + y = 24....multiply by -3
3x + 5y = 100
---------------
-3x - 3y = - 72 (result of multiplying by -3)
3x + 5y = 100
--------------add
2y = 28
y = 28/2
y = 14

x + y = 24
x + 14 = 24
x = 24 - 14
x = 10

solution is (10,14)...and x represents 3 point q's and y represents 5 point q's......so this tells me there are 10 three point q's and 14 five point q's.
So the answer is B

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