Respuesta :
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
The amount saved by each girl is as follows;
Amount saved by Gertrude = $36
Amount saved by Nora = $8
Amount saved by Helga = $20
We are given the ratio of Gertrude's savings to Nora's savings as; 9:2
We are given the ratio of Nora's savings to Helga's savings is, 2:5
Therefore;
The ratio of Gertrude's savings to Nora's savings to Helga's savings will be: 9 : 2 : 5
Thus;
Amount saved by each girl as a ratio is;
9x : 2x : 5x
We are told that the total amount saved by 3 sisters = $64
Thus;
9x + 2x + 5x = 64
16x = 64
x = 64/16
x = 4
Thus;
- 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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