In a competition, 5 points were awarded for each game won and 2 points were deducted for each game lost.A pupil attempted 15 games and got 54 points.How many games did the pupil win?
If w games were won, then 15-w were lost, so the points add up as
5w - 2(15-w) = 54
So, solve for w.
12 games won
Won-x
Lost-15-x
Points won=5x
Points lost=-2(15-x)=-30+2x
5x-30+2x=54
5x+2x=54+30
7x=84
X=12
Won games=12games