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Math Help - Incremental increase in ratios.

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    Incremental increase in ratios.

    The salaries of Kate and John are in a ratio 2:3 . If the salary of each is increase by $4000 the new ratio becomes 40:57 .What is Johns salary ?Ans $38,000
    Suggestions on solving this ?
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    Re: Incremental increase in ratios.

    Quote Originally Posted by MikeNoob View Post
    Suggestions on solving this ?
    Call j John's original salary and k Kate's original salary. It should be clear that it starts with k = (3/2)j.

    Then when their salaries increase, you have j + 4000 for John's new salary, and k + 4000 for Kate's original salary. It should then be clear that k + 4000 = (57/40)(j + 4000).

    Solve these two equations simultaneously.
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    Re: Incremental increase in ratios.

    Quote Originally Posted by MikeNoob View Post
    Suggestions on solving this ?
    Let present salaries be x and y x/y=2/3
    (x+4000)/(y+4000)=40/57
    57(x+4000)=40(y+4000)
    Simplify this and sub in x=(2/3)*y
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    Re: Incremental increase in ratios.

    It should then be clear that k + 4000 = (57/40)(j + 4000).
    Isn't it suppose to be (40/57) since thats the new ratio ? How did you get 57/40 ?
    Last edited by MikeNoob; July 2nd 2012 at 03:15 AM.
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    Re: Incremental increase in ratios.

    I'm sure it was a typo. Clearly John's salary is greater than Kate's.
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    Re: Incremental increase in ratios.

    Quote Originally Posted by biffboy View Post
    Let present salaries be x and y x/y=2/3
    (x+4000)/(y+4000)=40/57
    57(x+4000)=40(y+4000)
    Simplify this and sub in x=(2/3)*y
    You mean let old salaries be x and Y
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