Pamela's and Eva's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandmother's gift equally. Pamela's remaining savings was
15 as much as Eva's savings. What percentage of her savings did Eva spend? Correct the answer to 1 decimal place.
|
Pamela |
Eva |
Difference |
Before |
4x4 = 16 u |
9x4 = 36 u |
5x4 = 20 u |
Change |
- 11 u |
- 11 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Pamela and Eva shared the cost of their grandmother's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Pamela and Eva at first and in the end remains the same. Make the difference in the amounts between Pamela and Eva at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Eva spent on the gift
= 36 u - 25 u
= 11 u
Percentage of her savings that Eva spent
=
1136 x 100%
≈ 30.6%
Answer(s): 30.6%