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

	Julie	Gwen	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 Julie and Gwen shared the cost of their father's souvenir equally, the amount each paid for the souvenir is the same. 

So, the difference in the amounts between Julie and Gwen at first and in the end remains the same.  Make the difference in the amounts between Julie and Gwen at first and in the end the same. LCM of 3 and 4 is 12.

Amount that Gwen spent on the souvenir
= 28 u - 15 u
= 13 u

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

Answer(s): 46.4%