Question

A 100-point test contains a total of 20 questions. The multiple-choice questions are worth 3 points each, and the short response question are worth 8-points.

A-Write a system of linear equations that represents this situation

B-how many multiple choice questions are on the test?

C- how many short respond questions are on the test?

Answer 1

Answer: 8 short response questions and 12 multiple choice questions

Explanation:

Let m represent multiple choice questions

Let s represent short response questions

m + s = 20 --> Amount of questions

3 m + 8 s = 100 --> Total number of points for each question

Solve using elimination, multiply the first equation by -3

-3m-3s=-60

3 m + 8 s = 100

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5s=40

s=8

m+8=20

m=20-8

m=12

Therefore, there are 8 short response questions and 12 multiple choice questions