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Math Help - Solving for x and y based on ratio

  1. #1
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    Solving for x and y based on ratio

    Hi,

    x + y = 25

    solve for x and y where ratio of x:y is 4:3

    Could someone please run me through the steps for solving 2 unknowns based on a ratio?

    Many thanks

    Dave
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  2. #2
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    Quote Originally Posted by Rubicon244 View Post
    Hi,

    x + y = 25

    solve for x and y where ratio of x:y is 4:3

    Could someone please run me through the steps for solving 2 unknowns based on a ratio?

    Many thanks

    Dave
    If x + y = 25 then  y = 25 - x.


    So from the ratio

    x:y = 4:3

    \frac{y}{x} = \frac{3}{4}

    y = \frac{3x}{4}.


    Therefore \frac{3x}{4} = 25 - x

    3x = 100 - 4x

    7x = 100

    x = \frac{100}{7}.


    Which means y = 25 - \frac{100}{7}

     = \frac{175}{7} - \frac{100}{7}

     = \frac{75}{7}.
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