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

	Xandra	Irene	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 Xandra and Irene shared the cost of their older sister's souvenir equally, the amount each paid for the souvenir is the same. 

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

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

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

Answer(s): 58.3%