SOLUTION: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 54 points. They won 12 more games than they tied. How many wins

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 54 points. They won 12 more games than they tied. How many wins      Log On


   

Question 161099: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 54 points. They won 12 more games than they tied. How many wins and how many ties did the team have?
HOw many wins did the team have?
How many ties did the team have?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(12+X)2+X=54
24+2X+X=54
3X-54-24
3X=30
X=30/3
X=10 GAMES TIED.
10+12=22 GAMES WON.
PROOF:
2*22+10*1=54
44+10=54
54=54