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Math Help - Ratio Word Problem Please Help.

  1. #1
    Junior Member casey_k's Avatar
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    Exclamation Ratio Word Problem Please Help.

    The ratio of wins to losses so far for the Tigers is 5:4. If the Tigers have 9
    games left in the season and they win all of them, the ratio will now become
    7:5. Use this information to determine the total number of games played by
    the Tigers.
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  2. #2
    Junior Member
    Joined
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    w = wins
    l = losses

    \frac{5}{4}=\frac{w}{l}
    5l=4w

    \frac{7}{5}=\frac{(w+9)}{l}
    5w+45=7l

    Solving Simultaneously:
    1) 5w+45=7l
    2) 4w=5l

    1) 25w+ 225 = 35l
    2) 28w = 35l

    3) -3w + 225 = 0
    -3w = -225
    w = 75

    Can you solve for losses and find the final answer?
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