Shannon's and Elyse's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger brother's souvenir equally. Shannon's remaining savings was ¹₅ as much as Elyse's savings. What percentage of her savings did Shannon spend? Correct the answer to 1 decimal place.

	Shannon	Elyse	Difference
Before	4x4 = 16 u	9x4 = 36 u	5x4 = 20 u
Change	- 11 u	- 11 u
After	1x5 = 5 u	5x5 = 25 u	4x5 = 20 u

Since Shannon and Elyse shared the cost of their younger brother's souvenir equally, the amount each paid for the souvenir is the same. 

So, the difference in the amounts between Shannon and Elyse at first and in the end remains the same.  Make the difference in the amounts between Shannon and Elyse at first and in the end the same. LCM of 5 and 4 is 20.

Amount that Shannon spent on the souvenir
= 16 u - 5 u
= 11 u

Percentage of her savings that Shannon spent
= ¹¹₁₆ x 100%
≈ 68.8%

Answer(s): 68.8%