At one time, the 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?

Question
Equations and inequalities
asked 2021-03-11
At one time, the 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?

Answers (1)

2021-03-12
Let x be the number of ties so that the number of wins is x+9.
Each win earns 2 points and each tie earns 1 point. Since the team won with 60 points, we can write:
2(x+9)+1(x)=60
Solve for x:
2x+18+x=60
3x+18=60
3x=42
x=14
So, the team had 14+9=23 wins and 14 ties.
0

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