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Thread: 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 $\displaystyle x + y = 25$ then $\displaystyle y = 25 - x$.


    So from the ratio

    $\displaystyle x:y = 4:3$

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

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


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

    $\displaystyle 3x = 100 - 4x$

    $\displaystyle 7x = 100$

    $\displaystyle x = \frac{100}{7}$.


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

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

    $\displaystyle = \frac{75}{7}$.
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