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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?

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.

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Respuesta :

prosborough198p2ub41
Answer: The test contains 10 3pt questions and 14 five point questions.
x=3pt questions
y=5pt questions

x+y=24
3x+5y=100 subtracting the two;
2x+4y=76 now subbing y in from first equation;
2x+4(24-x)=76
2x+96-4x=76
-2x=-20
2x=20
x=10
Now putting back into first equation to get y;
10+y=24
y=14

So 10 3pt questions and 14 5pt questions are on the test.

Any questions please feel free to ask me. Thanks.

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