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

	Elyse	Risa	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 Elyse and Risa shared the cost of their mother's souvenir equally, the amount each paid for the souvenir is the same. 

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

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

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

Answer(s): 58.3%