SOLUTION: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 60 points. They won 12 games than they tied,. How many wins and ho
Question 205361: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 60 points. They won 12 games than they tied,. How many wins and how many ties did the team have? Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Let T = the number of games tied and W = the number of games won, then:
a) W = T+12 "They won 12 games more than they tied,..."
b) (2)W+(1)T = 60 "...2 points when they win (2W) and (+) 1 point when they tie ((1)T)." "One season...won a championship with 60 points."
Substitute equation a) into equation b) and solve for T.
c) 2(T+12)+T = 60
c) 3T+24 = 60 Subtract 24 from both sides.
c) 3T = 36 Divide both sides by 3.
c) and W = T+12
The team had 24 wins and 12 ties.
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