Roshel's and Fiona's savings were in the ratio of 4 : 7. Both of them shared the cost of their grandfather's souvenir equally. Roshel's remaining savings was
15 as much as Fiona's savings. What percentage of her savings did Fiona spend? Correct the answer to 1 decimal place.
|
Roshel |
Fiona |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Roshel and Fiona shared the cost of their grandfather's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Roshel and Fiona at first and in the end remains the same. Make the difference in the amounts between Roshel and Fiona at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Fiona spent on the souvenir
= 28 u - 15 u
= 13 u
Percentage of her savings that Fiona spent
=
1328 x 100%
≈ 46.4%
Answer(s): 46.4%