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

	Jane	Kathy	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 Jane and Kathy shared the cost of their younger sister's gift equally, the amount each paid for the gift is the same. 

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

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

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

Answer(s): 37.5%