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

	Hilda	Opal	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 Opal shared the cost of their auntie's gift equally, the amount each paid for the gift is the same. 

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

Amount that Hilda spent on the gift
= 8 u - 5 u
= 3 u

Percentage of her savings that Hilda spent
= ³₈ x 100%
≈ 37.5%

Answer(s): 37.5%