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

	Fanny	Gillian	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 Fanny and Gillian shared the cost of their uncle's souvenir equally, the amount each paid for the souvenir is the same. 

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

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

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

Answer(s): 58.3%