Number of games they won: W
Number of games they lost: L
They played 60 games:
(1) W+L=60
They won 24 more than they lost:
(2) W=L+24
We have a system ofr 2 equations and 2 unkowns:
(1) W+L=60
(2) W=L+24
Using the method of substitution. Replacing W by L+24 in the first equation:
(1) W+L=60
(L+24)+L=60
L+24+L=60
2L+24=60
Solving for L
2L+24-24=60-24
2L=36
Dividing both sides of the equation by 2:
2L/2=36/2
L=18
Replacing L by 18 in the second equation:
(2) W=L+24
W=18+24
W=42
Answers:
How many games did they win? 42
How many games did they lost? 18
