SOLUTION: Hockey teams receive 2 points when they win and 1 point when the tie. One season, a team won a championship with 61 points. They won 11 more games than they tied. How many wins and
Question 162284: Hockey teams receive 2 points when they win and 1 point when the tie. One season, a team won a championship with 61 points. They won 11 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? Found 2 solutions by tutor_paul, josmiceli:Answer by tutor_paul(519) (Show Source):
You can put this solution on YOUR website! First define a couple of variables:
W = # of wins
T = # of ties
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Now, write equations based on the given information. You know that the team won eleven more games then they tied, so you can write:
Equation #1:
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You are given that the team had a total of 61 points for the season, and that wins count for twice as much as ties. So you can write:
Equation #2:
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You now have 2 equations with 2 unknowns. Any time you have at least as many equations as unknowns, you can solve the problem!
Substitute the expression for W from Equation #1 into Equation #2:
Solve for T:
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Put this value of T back into Equation #1 to get the number of wins:
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Good Luck,
tutor_paul@yahoo.com
You can put this solution on YOUR website! Let = the number of wins
Let = the number of ties
given:
(1)
(2)
Substitute in (1) for in (2)
The team had 24 wins and 13 ties
check:
OK
