SOLUTION: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 55 points. They won 11 more games then they tied. How many wins an

Algebra ->  Graphs -> SOLUTION: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 55 points. They won 11 more games then they tied. How many wins an      Log On


   

Question 373885: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 55 points. They won 11 more games then they tied. How many wins and how many ties did the team have.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = number of wins
Let t = number of ties
given:
2w+%2B+t+=+55
w+=+t+%2B+11
By substitution:
2%2A%28t+%2B+11%29+%2B+t+=+55
2t+%2B+22+%2B+t+=+55
3t+=+33
t+=+11
and, since
w+=+t+%2B+11
w+=+22
They won 22 games and tied 11