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

	Cathy	Raeann	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 Cathy and Raeann shared the cost of their grandmother's souvenir equally, the amount each paid for the souvenir is the same. 

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

Amount that Raeann spent on the souvenir
= 18 u - 15 u
= 3 u

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

Answer(s): 16.7%