Question

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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.

Answer 1

Answer:

b. the test contains 10 3- point questions and 14 5-point questions.

Step-by-step explanation:

good luck <3

Answer 2

Answer:

B

Step-by-step explanation:

$3x+5y=100\\x+y=24$

The first thing you have to do is subtract equations.

$2x+4y=76\\x+2y=38$

We know that x+y=24.

Subtract that from the equation we got now.

$y=14$

There are 14 5 point questions and ten 3 point questions.

70+30=100

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