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  1. #1
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    Unhappy first post in this forum

    A spends 1/4 of her savings on bike and 1/3 less than she spent on the bike for a car. what fraction of her savings did she spent on bike and car?
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    Re: first post in this forum

    let her savings be x

    She spends x/4 on bike and x/4 - 1/3 on the car.
    To find how much she spent on both you add them
    x/4 + x/4 -1/3 = x/2-1/3 = (3x-2)/6
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  3. #3
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    Re: first post in this forum

    Hi, every one this is a important idea to all.

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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: first post in this forum

    I would state the fraction f of her savings spent as:

    f=\frac{1}{4}+\left(1-\frac{1}{3} \right)\cdot\frac{1}{4}=\frac{1}{4}\left(1+\frac{2  }{3} \right)=\frac{1}{4}\cdot\frac{5}{3}=?
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  5. #5
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    Re: first post in this forum

    Quote Originally Posted by puresoul View Post
    let her savings be x

    She spends x/4 on bike and x/4 - 1/3 on the car.
    To find how much she spent on both you add them
    x/4 + x/4 -1/3 = x/2-1/3 = (3x-2)/6
    there is an error, here.

    it should be: x/4 + (x/4 - (1/3)(x/4)) = x/4 + x/4 - x/12 = 2x/4 - x/12 = 6x/12 - x/12 = (6x - x)/12 = 5x/12.

    5x/12 is what fraction of x?
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