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

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

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

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

Answer(s): 58.3%