Tiffany's and Shannon's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's souvenir equally. Tiffany's remaining savings was ²₅ as much as Shannon's savings. What percentage of her savings did Tiffany spend? Correct the answer to 1 decimal place.

	Tiffany	Shannon	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 2 u	- 2 u
After	2x5 = 10 u	5x5 = 25 u	3x5 = 15 u

Since Tiffany and Shannon 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 Tiffany and Shannon at first and in the end remains the same.  Make the difference in the amounts between Tiffany and Shannon at first and in the end the same. LCM of 5 and 3 is 15.

Amount that Tiffany spent on the souvenir
= 12 u - 10 u
= 2 u

Percentage of her savings that Tiffany spent
= ²₁₂ x 100%
≈ 16.7%

Answer(s): 16.7%