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Math Help - Ratio Question

  1. #1
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    Ratio Question

    I am having problem solving the following question.

    Q)A sum of money is divided among three persons X, Y and Z in the ratio 10 : 7 :5. If Y gets $14 more than Z, how much will X get and what is the total sum of money ?

    Solution:

    sum of ratios=22
    Let total amount =$x

    Ys share= (7/22) * x

    Z share = (5/22) * x

    after this the solution i cant understand but i will share it here for any help..

    14 should have been added to Ys share but in the solution its added to Z s share.

    i need guidence from here onward to find the value of Xs share.
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  2. #2
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    Re: Ratio Question

    A sum of money is divided among three persons X, Y and Z in the ratio 10 : 7 :5. If Y gets $14 more than Z, how much will X get and what is the total sum of money ?
    then each share is $7
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  3. #3
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    Re: Ratio Question

    Quote Originally Posted by haftakhan View Post
    I am having problem solving the following question.

    Q)A sum of money is divided among three persons X, Y and Z in the ratio 10 : 7 :5. If Y gets $14 more than Z, how much will X get and what is the total sum of money ?

    Solution:

    sum of ratios=22
    Let total amount =$x

    Ys share= (7/22) * x

    Z share = (5/22) * x

    after this the solution i cant understand but i will share it here for any help..

    14 should have been added to Ys share but in the solution its added to Z s share.

    i need guidence from here onward to find the value of Xs share.
    Let X, Y, Z represent the amounts each receives. Let T represent the total amount.

    Then like you say, X + Y + Z = T, X = 10T/22, Y = 7T/22, Z = 5T/22.

    You also know that Y gets $14 more than Z, so Y = Z + 14 = 5T/22 + 14.

    Can you go from here?
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  4. #4
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    Re: Ratio Question

    ynow i get it . ur presentation has made it easy for me. thanks
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