Kathy's and Xylia's savings were in the ratio of 4 : 7. Both of them shared the cost of their older brother's gift equally. Kathy's remaining savings was ¹₅ as much as Xylia's savings. What percentage of her savings did Xylia spend? Correct the answer to 1 decimal place.

	Kathy	Xylia	Difference
Before	4x4 = 16 u	7x4 = 28 u	3x4 = 12 u
Change	- 13 u	- 13 u
After	1x3 = 3 u	5x3 = 15 u	4x3 = 12 u

Since Kathy and Xylia shared the cost of their older brother's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Kathy and Xylia at first and in the end remains the same.  Make the difference in the amounts between Kathy and Xylia at first and in the end the same. LCM of 3 and 4 is 12.

Amount that Xylia spent on the gift
= 28 u - 15 u
= 13 u

Percentage of her savings that Xylia spent
= ¹³₂₈ x 100%
≈ 46.4%

Answer(s): 46.4%