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

	Emma	Lucy	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 Emma and Lucy 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 Emma and Lucy at first and in the end remains the same.  Make the difference in the amounts between Emma and Lucy at first and in the end the same. LCM of 3 and 4 is 12.

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

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

Answer(s): 46.4%