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
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?

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.

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White - 1176
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White - 67
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