Question

Rick's average score on his first three tests inmath is 80. What must he score on his next test to raise hisaverage to 84?

Answer 1

Rick's average score on his first three tests in math is 80.

Let the total score in the three tests be m

This implies

`(m)/(3)=80`

Solve for m

m = 80 x 3

m = 240

Let the next test score be n

It implies that

`\begin{gathered} \text{ }\frac{240\text{ + n }}{4}=84 \\ \text{solve for n} \\ 240\text{ + n = 4 x 84} \\ 240\text{ + n = 336} \\ n=336-240 \\ n=96 \\ \\ \text{ He must score 96 on his next test to raise his average to 84} \\ \\ \text{The answer is }96 \end{gathered}`