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.
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
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?
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?