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

                     = $\dfrac{20}{100}x$

                     = $0.2x$

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

$0.2x+12=x$

$12=x-0.2x$

$12=0.8x$

$\dfrac{12}{0.8}=x$

$15=x$

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

$0.2(15)=3$

Therefore, Jessica won 3 matches.