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?

2 answers

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?