SOLUTION: Hockey team receives two points when they win and one point when they tie. One season, a team won a championship with 57 points. The won 12 more games than they tied. How many wins

Algebra ->  Graphs -> SOLUTION: Hockey team receives two points when they win and one point when they tie. One season, a team won a championship with 57 points. The won 12 more games than they tied. How many wins      Log On


   

Question 208196: Hockey team receives two points when they win and one point when they tie. One season, a team won a championship with 57 points. The won 12 more games than they tied. How many wins and how many ties did the team have? I would very much apprecaiate solution. I have been working on this for hours and I can't seem to come up with the right solution.
Thank you very much.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x = ties

"won 12 more games than they tied" ___ so x+12 = wins

2(x+12) + 1(x) = 57

distributing ___ 2x + 24 + x = 57 ___ 3x = 33 ___ x = 11

so, 11 ties and 23 wins