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Math Help - Word Problem (Rational Equations and Variation Problems)

  1. #1
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    Word Problem (Rational Equations and Variation Problems)

    In a park, the ratio of adults to children is 2 to 4. If there are 114 people in the park, how many children are there?

    I don't even know where to start... How would I go about solving this problem?

    Thanks for all the help.
    Any help is appreciated,
    Azusa.


    EDIT: I have the answer (It is 76)... What is the process on solving this problem? Thank You.
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  2. #2
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    Re: Word Problem (Rational Equations and Variation Problems)

    A ratio of 2:4 is the same as a ratio of \frac{2}{6}:\frac{4}{6} so you need to calculate 4/6 of 114.
    Thanks from Azusa
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  3. #3
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    Re: Word Problem (Rational Equations and Variation Problems)

    Thank You, but where did you get the 6 from?

    -Azusa.
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  4. #4
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    Re: Word Problem (Rational Equations and Variation Problems)

    2 + 4 = 6

    Thanks from Azusa
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  5. #5
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    Re: Word Problem (Rational Equations and Variation Problems)

    Ahh... I see. So you just add up the ratios... Got it.

    Thank you so much. x_x Another frustration down.
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  6. #6
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    Re: Word Problem (Rational Equations and Variation Problems)

    Oh, wait a sec; how come Word Problem (Rational Equations and Variation Problems)-codecogseqn-2-.png gave me the answer? I thought that was the adults?


    I'm sorry if my questions seem rather stupid. I really have no idea. >.<

    Thank You,
    Azusa.
    Last edited by Azusa; May 1st 2012 at 12:36 AM.
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  7. #7
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    Re: Word Problem (Rational Equations and Variation Problems)

    The order is important. If it says the ratio of adults to children is 2:4 then we have 2 adults to every four children.
    Thanks from Azusa
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  8. #8
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    Re: Word Problem (Rational Equations and Variation Problems)

    omg... I wasn't reading the problem correctly...
    i feel stupider than ever. For some odd reason I thought it went the other way around. 2:4 ; children:adult.
    /sigh. Sorry for the trouble.

    Thank You,
    Azusa.
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