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

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x