A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?

Question

A test

Answer 1

Hello, thank you for taking the time to post your question!

The information given in the questions gives you a system of equations

m + n = 40

4m + 2n = 108

I would solve by using substituting m = 40 – n into the second equation

4(40 – n) + 2n = 108

160 – 4n + 2n = 108

-2n = -52

n = 26

which means that m = 40 – 26 = 14

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

m + n = 40

4m + 2n = 108

Since m + n = 40, n = 40 - m

So, 4m + 2(40 - m) = 108

Solve for m and n.