Jane's and Fiona's savings were in the ratio of 4 : 7. Both of them shared the cost of their cousin's gift equally. Jane's remaining savings was
13 as much as Fiona's savings. What percentage of her savings did Fiona spend? Correct the answer to 1 decimal place.
|
Jane |
Fiona |
Difference |
Before |
4x2 = 8 u |
7x2 = 14 u |
3x2 = 6 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Since Jane and Fiona shared the cost of their cousin's gift equally, the amount each paid for the gift 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 3 and 2 is 6.
Amount that Fiona spent on the gift
= 14 u - 9 u
= 5 u
Percentage of her savings that Fiona spent
=
514 x 100%
≈ 35.7%
Answer(s): 35.7%