Jane's and Fiona's savings were in the ratio of 2 : 7. Both of them shared the cost of their younger brother's souvenir equally. Jane's remaining savings was
15 as much as Fiona's savings. What percentage of her savings did Jane spend? Correct the answer to 1 decimal place.
|
Jane |
Fiona |
Difference |
Before |
2x4 = 8 u |
7x4 = 28 u |
5x4 = 20 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Jane and Fiona shared the cost of their younger brother's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Jane and Fiona at first and in the end remains the same. Make the difference in the amounts between Jane and Fiona at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Jane spent on the souvenir
= 8 u - 5 u
= 3 u
Percentage of her savings that Jane spent
=
38 x 100%
≈ 37.5%
Answer(s): 37.5%