In a competition, 5 points were awarded for each game won and 1 point was deducted for each game lost.A pupil attempted 15 games and got 54 points .How many games did the pupil win?
Let the number of games won be represented by "x".
The total number of games played is 15, therefore, the number of games lost is 15-x.
5 points are awarded for each game won, so the total points earned from winning is 5x.
1 point is deducted for each game lost, so the total points lost from losing is (15-x).
The equation for the total number of points earned is:
5x - (15-x) = 54
Simplifying:
6x - 15 = 54
Adding 15 to both sides:
6x = 69
Dividing both sides by 6:
x = 11.5
Since the number of games won must be a whole number, the pupil won 11 games.
54 = 5 W - L
W + L = 15 so L = (15-W)
54 = 5 W - 15 + W
69 = 6 W
For once I agree with answered so suspect a typo in the problem statement. It is hard to win half a game. Maybe one was tied?