Jade's and Kathy's savings were in the ratio of 4 : 7. Both of them shared the cost of their grandmother's gift equally. Jade's remaining savings was ¹₅ as much as Kathy's savings. What percentage of her savings did Jade spend? Correct the answer to 1 decimal place.

	Jade	Kathy	Difference
Before	4x4 = 16 u	7x4 = 28 u	3x4 = 12 u
Change	- 13 u	- 13 u
After	1x3 = 3 u	5x3 = 15 u	4x3 = 12 u

Since Jade and Kathy shared the cost of their grandmother's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Jade and Kathy at first and in the end remains the same.  Make the difference in the amounts between Jade and Kathy at first and in the end the same. LCM of 3 and 4 is 12.

Amount that Jade spent on the gift
= 16 u - 3 u
= 13 u

Percentage of her savings that Jade spent
= ¹³₁₆ x 100%
≈ 81.3%

Answer(s): 81.3%