Lucy's and Vanessa's savings were in the ratio of 4 : 9. Both of them shared the cost of their cousin's present equally. Lucy's remaining savings was ¹₃ as much as Vanessa's savings. What percentage of her savings did Vanessa spend? Correct the answer to 1 decimal place.

	Lucy	Vanessa	Difference
Before	4x2 = 8 u	9x2 = 18 u	5x2 = 10 u
Change	- 3 u	- 3 u
After	1x5 = 5 u	3x5 = 15 u	2x5 = 10 u

Since Lucy and Vanessa shared the cost of their cousin's present equally, the amount each paid for the present is the same. 

So, the difference in the amounts between Lucy and Vanessa at first and in the end remains the same.  Make the difference in the amounts between Lucy and Vanessa at first and in the end the same. LCM of 5 and 2 is 10.

Amount that Vanessa spent on the present
= 18 u - 15 u
= 3 u

Percentage of her savings that Vanessa spent
= ³₁₈ x 100%
≈ 16.7%

Answer(s): 16.7%