Question

Ebony earned scores of 74, 74, 88, 99, and 88 on five math tests. Determine her

score on the sixth test if her average for the six tests was 83? Enter your answer as a
whole number
Your Answer:

Answer 1

score on sixth test = 75

Explanation:

average is calculated as

average =
`(sum)/(count)`

her sum on the five maths test

= 74 + 74 + 88 + 99 + 88

= 423

let her score on the sixth test be x

then add this to the sum of 5 tests and divide by 6 for her score.

given the average for the 6 tests is 83 , then

`(423+x)/(6)` = 83 ( multiply both sides by 6 to clear the fraction )

423 + x = 6 × 83 = 498 ( subtract 423 from both sides )

x = 75

Her score on the sixth test is 75