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

	Shiyun	Tammy	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 Shiyun and Tammy shared the cost of their younger sister's present equally, the amount each paid for the present is the same. 

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

Amount that Shiyun spent on the present
= 12 u - 5 u
= 7 u

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

Answer(s): 58.3%