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A test is worth 50 points. Multiple choice questions are worth 1 point and short answer questions are worth 3 points if the test has 20 questions, how many multiple choice questions are there?

A. s for short answer, t for test
B. m for multiple choice, s for short answer
C. t for test, q for questions
D. p for points, m for multiple choice

User Tubeliar
by
8.1k points

2 Answers

0 votes

Answer:

There are 5 multiple choice questions

Explanation:

2 votes

Answer:

There are 5 multiple choice questions

Explanation:

Let

m ----> the number of multiple choice in a test

s ----> the number of short answer in a test

we know that

The test has 20 questions

so


m+s=20 ----> equation A

A test is worth 50 points

so


(1)m+3(s)=50


m+3s=50 ----> equation B

Subtract equation A from equation B


m+3s=50\\-m-s=-20\\-------\\3s-s=50-20\\2s=30\\s=15

Find the value of m


m+s=20\\m+15=20\\m=5

therefore

There are 5 multiple choice questions

User Saurabh Sengar
by
8.2k points

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