Vanessa's and Gem's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandfather's souvenir equally. Vanessa's remaining savings was ¹₄ as much as Gem's savings. What percentage of her savings did Gem spend? Correct the answer to 1 decimal place.

	Vanessa	Gem	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 7 u	- 7 u
After	1x5 = 5 u	4x5 = 20 u	3x5 = 15 u

Since Vanessa and Gem shared the cost of their grandfather's souvenir equally, the amount each paid for the souvenir is the same. 

So, the difference in the amounts between Vanessa and Gem at first and in the end remains the same.  Make the difference in the amounts between Vanessa and Gem at first and in the end the same. LCM of 5 and 3 is 15.

Amount that Gem spent on the souvenir
= 27 u - 20 u
= 7 u

Percentage of her savings that Gem spent
= ⁷₂₇ x 100%
≈ 25.9%

Answer(s): 25.9%