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?

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