Question

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

Answer 1

There are 5 multiple choice questions

Explanation:

Answer 2

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