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

	Lucy	Emma	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 Lucy and Emma shared the cost of their uncle's souvenir equally, the amount each paid for the souvenir is the same. 

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

Amount that Lucy spent on the souvenir
= 8 u - 5 u
= 3 u

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

Answer(s): 37.5%