Fiona's and Xandra's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's souvenir equally. Fiona's remaining savings was ¹₄ as much as Xandra's savings. What percentage of her savings did Fiona spend? Correct the answer to 1 decimal place.

	Fiona	Xandra	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 7 u	- 7 u
After	1x5 = 5 u	4x5 = 20 u	3x5 = 15 u

Since Fiona and Xandra shared the cost of their younger sister's souvenir equally, the amount each paid for the souvenir is the same. 

So, the difference in the amounts between Fiona and Xandra at first and in the end remains the same.  Make the difference in the amounts between Fiona and Xandra at first and in the end the same. LCM of 5 and 3 is 15.

Amount that Fiona spent on the souvenir
= 12 u - 5 u
= 7 u

Percentage of her savings that Fiona spent
= ⁷₁₂ x 100%
≈ 58.3%

Answer(s): 58.3%