Hilda's and Roshel's savings were in the ratio of 4 : 9. Both of them shared the cost of their father's gift equally. Hilda's remaining savings was
25 as much as Roshel's savings. What percentage of her savings did Roshel spend? Correct the answer to 1 decimal place.
|
Hilda |
Roshel |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Hilda and Roshel shared the cost of their father's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Hilda and Roshel at first and in the end remains the same. Make the difference in the amounts between Hilda and Roshel at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Roshel spent on the gift
= 27 u - 25 u
= 2 u
Percentage of her savings that Roshel spent
=
227 x 100%
≈ 7.4%
Answer(s): 7.4%