SOLUTION: The Denver Ducks won 2/3 of their games. The Minneapolis Moles won half of their games. The two teams played the same number of games and together won a total of 49 games. How many

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Denver Ducks won 2/3 of their games. The Minneapolis Moles won half of their games. The two teams played the same number of games and together won a total of 49 games. How many      Log On


   

Question 125601: The Denver Ducks won 2/3 of their games. The Minneapolis Moles won half of their games. The two teams played the same number of games and together won a total of 49 games. How many games did each team win?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Denver Ducks won 2/3 of their games. The Minneapolis Moles won half of their games. The two teams played the same number of games and together won a total of 49 games. How many games did each team win?
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Let "x" be the number of Duck wins:
Then "49-x" is the number of Mole wins.
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Let "y" be the number of games each team played.
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EQUATIONS:
x = (2/3)y
49-x =(1/2)y
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Rearrange:
3x = 2y
98-2x = y
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3x = 196-4x
7x = 196
x = 28 (# of Duck wins)
49-x = 21 (# of Mole wins)
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Cheers,
Stan H.




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Cheers,
Stan H.