Question 137987
The hockey team receives 2 points when they win and 1 point when they tie. One season a team won the championship with 69 points. They won 12 more games than they tied. How many wins and how many ties did the team have? 
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Let # of wins be "w"; Let # of ties be "t"
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Games equation: w = t+12
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Points equation: 2w + t = 69
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Substitute w=t+12 into the 2nd equation to solve for "t":
2(t+12) + t = 69
2t+24 + t = 69
3t = 45
t = 15 (# of ties)
w = t+12 = 27 (# of wins)
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Cheers,
Stan H.