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

	Hilda	Ivory	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 Hilda and Ivory shared the cost of their older sister's gift equally, the amount each paid for the gift is the same. 

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

Amount that Hilda spent on the gift
= 12 u - 5 u
= 7 u

Percentage of her savings that Hilda spent
= ⁷₁₂ x 100%
≈ 58.3%

Answer(s): 58.3%