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

	Diana	Lynn	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 Diana and Lynn shared the cost of their older sister's souvenir equally, the amount each paid for the souvenir is the same. 

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

Amount that Diana spent on the souvenir
= 12 u - 5 u
= 7 u

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

Answer(s): 58.3%