Question

Last week Jessica beat Emily at checkers in 20% of their matches Emily won 12 matches how many matches did Jessica win

Answer 1

Given:

Last week Jessica beat Emily at checkers in 20% of their matches.

Emily won 12 matches.

To find:

Number of matches Jessica win.

Solution:

Let x be the total number of matches.

Jessica won = 20% of x

=
`(20)/(100)x`

=
`0.2x`

Emily won 12 matches. So, the total matches is equal to the sum of their matches.

`0.2x+12=x`

`12=x-0.2x`

`12=0.8x`

`(12)/(0.8)=x`

`15=x`

Total number of matches is 15. So, number of matches won by Jessica is:

`0.2(15)=3`

Therefore, Jessica won 3 matches.