Question

An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%, 77%, and 81% on the first three exams, what must he score on the fourth test to maintain a 70% or better average.

Answer 1

atleast 52

Explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams =
`70+77+81+x\\= 228+x`

Average should exceed 70%

i.e.
`\bar X \geq 70\\Total\geq 70(4) =280`

Comparing the two totals we have

`228+x\geq 280\\x\geq 280-228 = 52`

Hemust score on the fourth test a score atleast 52 to maintain a 70% or better average.