Tiffany's and Elyse's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's gift equally. Tiffany's remaining savings was ¹₃ as much as Elyse's savings. What percentage of her savings did Elyse spend? Correct the answer to 1 decimal place.

	Tiffany	Elyse	Difference
Before	4x2 = 8 u	9x2 = 18 u	5x2 = 10 u
Change	- 3 u	- 3 u
After	1x5 = 5 u	3x5 = 15 u	2x5 = 10 u

Since Tiffany and Elyse shared the cost of their older sister's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Tiffany and Elyse at first and in the end remains the same.  Make the difference in the amounts between Tiffany and Elyse at first and in the end the same. LCM of 5 and 2 is 10.

Amount that Elyse spent on the gift
= 18 u - 15 u
= 3 u

Percentage of her savings that Elyse spent
= ³₁₈ x 100%
≈ 16.7%

Answer(s): 16.7%