SOLUTION: Hockey teams receive 2 points for a win and 1 point for a tie. The Wildcats once won a championship with 60 points. They won 9 more games than they tied. How many wins and how many

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hockey teams receive 2 points for a win and 1 point for a tie. The Wildcats once won a championship with 60 points. They won 9 more games than they tied. How many wins and how many      Log On


   

Question 701046: Hockey teams receive 2 points for a win and 1 point for a tie. The Wildcats once won a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the Wildcats have?
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

This is a system of equations problem:

Let w stand for wins, and t stand for ties, then we have:

2%2Aw%2B1%2At=60 given

w=t%2B9 given

Let's use substitution, using the value of w in Equation 1 in Equation 2:

2%2A%28t%2B9%29%2Bt=60

2t%2B18%2Bt=60

3t%2B18=60

3t=42

t=14

Use this value of t in Equation 2 to find w:

w=t%2B9

w=14%2B9

w=23

So on their championship run, the Wildcats won 23 games and had 14 ties.

Check it, and it should work.

I hope this helps! Keep practicing! :)

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