Vanessa's and Cathy's savings were in the ratio of 4 : 9. Both of them shared the cost of their mother's present equally. Vanessa's remaining savings was ¹₅ as much as Cathy's savings. What percentage of her savings did Vanessa spend? Correct the answer to 1 decimal place.

	Vanessa	Cathy	Difference
Before	4x4 = 16 u	9x4 = 36 u	5x4 = 20 u
Change	- 11 u	- 11 u
After	1x5 = 5 u	5x5 = 25 u	4x5 = 20 u

Since Vanessa and Cathy shared the cost of their mother's present equally, the amount each paid for the present is the same. 

So, the difference in the amounts between Vanessa and Cathy at first and in the end remains the same.  Make the difference in the amounts between Vanessa and Cathy at first and in the end the same. LCM of 5 and 4 is 20.

Amount that Vanessa spent on the present
= 16 u - 5 u
= 11 u

Percentage of her savings that Vanessa spent
= ¹¹₁₆ x 100%
≈ 68.8%

Answer(s): 68.8%