Dana's and Tiffany's savings were in the ratio of 4 : 7. Both of them shared the cost of their mother's gift equally. Dana's remaining savings was ¹₃ as much as Tiffany's savings. What percentage of her savings did Tiffany spend? Correct the answer to 1 decimal place.

	Dana	Tiffany	Difference
Before	4x2 = 8 u	7x2 = 14 u	3x2 = 6 u
Change	- 5 u	- 5 u
After	1x3 = 3 u	3x3 = 9 u	2x3 = 6 u

Since Dana and Tiffany shared the cost of their mother's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Dana and Tiffany at first and in the end remains the same.  Make the difference in the amounts between Dana and Tiffany at first and in the end the same. LCM of 3 and 2 is 6.

Amount that Tiffany spent on the gift
= 14 u - 9 u
= 5 u

Percentage of her savings that Tiffany spent
= ⁵₁₄ x 100%
≈ 35.7%

Answer(s): 35.7%