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

	Barbara	Xandra	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 Barbara and Xandra shared the cost of their auntie's gift equally, the amount each paid for the gift is the same. 

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

Amount that Barbara spent on the gift
= 8 u - 5 u
= 3 u

Percentage of her savings that Barbara spent
= ³₈ x 100%
≈ 37.5%

Answer(s): 37.5%