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Math Help - Solving this algabraic question

  1. #1
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    Solving this algabraic question

    Hi,

    For the question attached, the multiple choice answers are 60, 70, 80, 90, 100. I have tried:

    W_{1}/T_{1}=0.6, W_{2}/T_{2}=3/20, and [W_{1} + W_{2}]/[T_{1} + T_{2}]=0.5. I can't get a numerical answer in T_{1} + T_{2}.

    Thanks
    Attached Thumbnails Attached Thumbnails Solving this algabraic question-capture1.jpg  
    Last edited by algorithm; September 26th 2012 at 10:38 AM.
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  2. #2
    Behold, the power of SARDINES!
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    Re: Solving this algabraic question

    Quote Originally Posted by algorithm View Post
    Hi,

    For the question attached, the multiple choice answers are 60, 70, 80, 90, 100. I have tried:

    W_{1}/T_{1}=0.6, W_{2}/T_{2}=3/20, and [W_{1} + W_{2}]/[T_{1} + T_{2}]=0.5. I can't get a numerical answer in T_{1} + T_{2}.

    Thanks
    Let w be the number of wins in the first half of the season and n be the number of games played in the first half. Then by the definintion of average we get

    \frac{w}{n}=.6  \iff w=.6n

    Now we know the won three more games in the 2nd half, so their total number of wins is w+3 and the total number of games played is n+20

    This gives \frac{w+3}{n+20}=.5, but we know that w=.6n so sub in and solve...
    Thanks from algorithm
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