At one time, hockey teams received two points when they won a game, and one point when they tied. One season, a team won a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the team have?

Answer 1

Let W be the number of wins and T be the number of ties.

The team received 2 points for each win, so the total number of points from wins is 2W.
The team received 1 point for each tie, so the total number of points from ties is T.

Since the team won 9 more games than they tied, we can write the following equation:
W = T + 9

The total number of points the team received is 60:
2W + T = 60

Substitute W = T + 9 into the second equation:
2(T + 9) + T = 60
2T + 18 + T = 60
3T + 18 = 60
3T = 42
T = 14

Now, substitute T = 14 back into W = T + 9:
W = 14 + 9
W = 23

Therefore, the team had 23 wins and 14 ties.