Gem's and Anna's savings were in the ratio of 4 : 7. Both of them shared the cost of their grandfather's souvenir equally. Gem's remaining savings was ¹₃ as much as Anna's savings. What percentage of her savings did Anna spend? Correct the answer to 1 decimal place.

	Gem	Anna	Difference
Before	4x2 = 8 u	7x2 = 14 u	3x2 = 6 u
Change	- 5 u	- 5 u
After	1x3 = 3 u	3x3 = 9 u	2x3 = 6 u

Since Gem and Anna shared the cost of their grandfather's souvenir equally, the amount each paid for the souvenir is the same. 

So, the difference in the amounts between Gem and Anna at first and in the end remains the same.  Make the difference in the amounts between Gem and Anna at first and in the end the same. LCM of 3 and 2 is 6.

Amount that Anna spent on the souvenir
= 14 u - 9 u
= 5 u

Percentage of her savings that Anna spent
= ⁵₁₄ x 100%
≈ 35.7%

Answer(s): 35.7%