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

	Linda	Mary	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 Linda and Mary 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 Linda and Mary at first and in the end remains the same.  Make the difference in the amounts between Linda and Mary at first and in the end the same. LCM of 5 and 2 is 10.

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

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

Answer(s): 37.5%