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

	Rachel	Kimberly	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 Rachel and Kimberly shared the cost of their cousin's souvenir equally, the amount each paid for the souvenir is the same. 

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

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

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

Answer(s): 46.4%