Question

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?

Answer 1

Sooo heres what I believe is the answer. 14 4 point questions and 26 2 point questions. 14 TIMES 4 EQUALS 56, 26 TIMES 2 EQUALS 52, 56 PLUS 52 EQUALS 108. Hope I helped.

Answer 2

Answer: There are fourteen  4-point questions and twenty six 2-point questions.

Step-by-step explanation:

Given : A 40-question test has 108 possible points.

There are m 4-point questions and n 2-point questions.

So , equation for total number of questions in the test : $m+n=40...(i)$

$4m+2n=108...(ii)$

Multiplying (i) by 2 , we get

$2m+2n=80...(iii)$

Subtract (iii) from (ii) , we get

$2m=28\\\\\Rightarrow\ m=\dfrac{28}{2}=14$

Using value of m in (i) , we get

$14+n=40\Rightarrow\ n= 26$

Hence, there are fourteen  4-point questions and twenty six 2-point questions.