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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.

Asked 11 months ago
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1
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.

2

if you fill them all in corectly you should get not A

Not C NOR D THE ANSWER IS B 10 plus 14 equals 24 and 3 times 10 equals 30 and plus 5 times 14 equals 70 so the answer is B

tep-by-step explanation: ##### Wava Conroy
15.5k 3 10 26
answered 11 months ago
2

Let 3-points question be x and the value of 5-points question be y.

x + y = 24

x = 24 - y ...

Now, plug the value of x in 3x + 5y = 100.

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

2y + 72 = 100

2y = 100 - 72

2y = 28

y = 14.

then, x = 24 - 14

x = 10.

Correct choice => [B] The test contains 10 three-point questions and 14 five-point questions. ##### Reba Mosciski
15.5k 3 10 26
answered 11 months ago