Kylie's and Lucy's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's gift equally. Kylie's remaining savings was ²₅ as much as Lucy's savings. What percentage of her savings did Lucy spend? Correct the answer to 1 decimal place.

	Kylie	Lucy	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 2 u	- 2 u
After	2x5 = 10 u	5x5 = 25 u	3x5 = 15 u

Since Kylie and Lucy 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 Kylie and Lucy at first and in the end remains the same.  Make the difference in the amounts between Kylie and Lucy at first and in the end the same. LCM of 5 and 3 is 15.

Amount that Lucy spent on the gift
= 27 u - 25 u
= 2 u

Percentage of her savings that Lucy spent
= ²₂₇ x 100%
≈ 7.4%

Answer(s): 7.4%