Question

Amir’s average math score for the first 4 tests of the school year is 88 Which equation can be used to calculate what Amir’s average must be on the next two tests so that his overall average is 90

Answer 1

Equation that can be used =
`(4(88)+2x)/(6) = 90`

Explanation:

Given that:

Amir's average on four tests = 88

Let,

x be the score on one test

For two tests = 2x

Sum of all scores = Average of four tests + Score of two tests

Sum of all scores = 4(88) + 2x

Total number of tests = 6

Overall average needed = 90

Now,

`Average = (Sum\ of\ quantities)/(Number\ of\ quantities)\\90 = (4(88)+2x)/(6)\\\\(4(88)+2x)/(6) = 90`

Hence,

Equation that can be used =
`(4(88)+2x)/(6) = 90`