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?

1 Answer
Jul 26, 2017

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#.