Gabby's and Gem's savings were in the ratio of 4 : 9. Both of them shared the cost of their mother's gift equally. Gabby's remaining savings was ¹₅ as much as Gem's savings. What percentage of her savings did Gem spend? Correct the answer to 1 decimal place.

	Gabby	Gem	Difference
Before	4x4 = 16 u	9x4 = 36 u	5x4 = 20 u
Change	- 11 u	- 11 u
After	1x5 = 5 u	5x5 = 25 u	4x5 = 20 u

Since Gabby and Gem shared the cost of their mother's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Gabby and Gem at first and in the end remains the same.  Make the difference in the amounts between Gabby and Gem at first and in the end the same. LCM of 5 and 4 is 20.

Amount that Gem spent on the gift
= 36 u - 25 u
= 11 u

Percentage of her savings that Gem spent
= ¹¹₃₆ x 100%
≈ 30.6%

Answer(s): 30.6%