SOLUTION: The hockey team played 12 games this year. They lost one more than they tied. They won two more than they lost. How many games won, lost and tied?

Algebra ->  Equations -> SOLUTION: The hockey team played 12 games this year. They lost one more than they tied. They won two more than they lost. How many games won, lost and tied?       Log On


   

Question 170836: The hockey team played 12 games this year. They lost one more than they tied. They won two more than they lost. How many games won, lost and tied?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The hockey team played 12 games this year. They lost one more than they tied. They won two more than they lost. How many games won, lost and tied?
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w + L + t = 12
L= t + 1
w = L + 2
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Rearrange:
w + L + t = 12
0 + L - t = 1
w - L + 0 = 2
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solve the system by any means you know to get:
w = 5 2/3 (number of wins)
L = 3 2/3 (number of losses)
t = 2 2/3 (number of ties)
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Comment: Something is wrong with your Data;
the answers should be whole numbers.
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Cheers,
Stan H.