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

	Vanessa	Natalie	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 Natalie shared the cost of their younger brother's gift equally, the amount each paid for the gift is the same. 

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

Amount that Natalie spent on the gift
= 27 u - 20 u
= 7 u

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

Answer(s): 25.9%