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

	Vanessa	Lucy	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 Vanessa and Lucy shared the cost of their older brother's souvenir equally, the amount each paid for the souvenir is the same. 

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

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

Percentage of her savings that Vanessa spent
= ⁵₈ x 100%
≈ 62.5%

Answer(s): 62.5%