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Three sisters are saving for a special journey. The ratio of Gertrude 's savings to Nora 's savings is 9 : 2 and the ratio of Nora 's savings to Helga 's savings is 2 : 5. Together all 3 sisters have saved $64. How much has each girl saved?

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  1. 17 May, 03:27
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    Answer : The amount saved by Gertrude, Nora and Helga is, $36, $8 and $20 respectively.

    Step-by-step explanation:

    Given:

    Ratio of Gertrude 's savings to Nora 's savings is, 9 : 2

    Ratio of Nora 's savings to Helga 's savings is, 2 : 5

    The ratio of Gertrude 's savings to Nora 's savings to Helga 's savings will be:

    9 : 2 : 5

    Let the amount saved by girls as per ratio is:

    9x : 2x : 5x

    Total amount saved by 3 sisters = $64

    So,

    9x + 2x + 5x = 64

    16x = 64

    x = 4

    Now we have to calculate the amount saved by each girl.

    Amount saved by Gertrude = 9x = 9 * 4 = $36

    Amount saved by Nora = 2x = 2 * 4 = $8

    Amount saved by Helga = 5x = 5 * 4 = $20
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