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?

Answer 1

5 multiple choice questions

Explanation:

Set 1 point questions to "x" and 3 point questions to "y".

You can form the equations:

x + y = 20

1x + 3y = 50

Using substitution, you can rewrite the first equation to: "x = 20 - y" and plug it into the bottom equation.

1(20-y) + 3y = 50, then open parenthesis and combine like terms

2y = 30, then divide both sides by 2

y = 15, there 20 total questions, and 15 short answer questions, so there are 5 multiple choice questions

3*15+1*5 = 45 + 5 = 50

Answer 2

The answer is 2

Explanation:

This is because 3 times 16 is 48, so add 2 more multiple choice questions and it equals 50. Hope this helps :p