Question

Jacque has grades of 81 and 84 on her first two algebra tests. If she wants an average of at least 73, what possible scores can she make on her third test?

Answer 1

Answer: 54 , 55 , 56 , 57 , ...

Explanation:

Let the third grade be x , then Jacque scores in the three tests will be :

81 , 84 , x.

the average of the scores =
`(81+84+ x)/(3)`

Since Jacque wants an average of at least 73 , this means that :

`(81+84+x)/(3)\geq 73`

`81 + 84 + x \geq 219`

`165 +x \geq 219`

`x \geq 219 - 165`

`x\geq 54`

This means her possible scores will be :

54 , 55 , 56 , 57 , ...