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

	Hilda	Olivia	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 Hilda and Olivia 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 Hilda and Olivia at first and in the end remains the same.  Make the difference in the amounts between Hilda and Olivia at first and in the end the same. LCM of 5 and 2 is 10.

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

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

Answer(s): 16.7%