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

	Rachel	Pamela	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 Pamela shared the cost of their father's gift equally, the amount each paid for the gift is the same. 

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

Amount that Pamela spent on the gift
= 28 u - 15 u
= 13 u

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

Answer(s): 46.4%