Question

Maria scored 72, 97, and 82 on her first three math tests. She wants to have a mean score of 82 for the quarter. How many points does she need on her last test to earn an 82 for the quarter

Answer 1

77 points. 82*4=328 328-72-97-82=77 You can check this by adding 77,72,97, and 82, and divide it by 4

Answer 2

She needs 77 on her last test to earn an 82 for the quarter.

Explanation:

Maria scored 72, 97, and 82 on her first three math tests.

She wants to have a mean score of 82 for the quarter.

Let us assume that she must score x on her last test to earn an 82 for the quarter.

So the average score will be,

`=(72+97+82+x)/(4)`

But the average score is given as 82, so

`\Rightarrow (72+97+82+x)/(4)=82`

`\Rightarrow 72+97+82+x=82* 4`

`\Rightarrow 72+97+82+x=328`

`\Rightarrow x=328-72-97-82`

`\Rightarrow x=77`