Question

Carmen has saved 80% of the money she needs to buy a new video game. If she has saved $36, how much does the video game cost?

Answer 1

The video game costs `$45`.

Explanation:

`36` is `80%` of the total which we will represent as `x`.

Hence, we can write:

`x xx80/100=36`

`x xx(8cancel0)/(10cancel0)=36`

`x xx(4cancel8)/(5cancel10)=36`

Multiply both sides by `5/4`.

`x xx4/5xx5/4=36xx5/4`

`x xx (1cancel4)/(1cancel5)xx(1cancel5)/(1cancel4)=9cancel36xx5/(1cancel4)`

`x=9xx5`

`x=45`

The video game costs `$45`.