Natalie's and Marion's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's gift equally. Natalie's remaining savings was ¹₃ as much as Marion's savings. What percentage of her savings did Natalie spend? Correct the answer to 1 decimal place.

	Natalie	Marion	Difference
Before	4x2 = 8 u	9x2 = 18 u	5x2 = 10 u
Change	- 3 u	- 3 u
After	1x5 = 5 u	3x5 = 15 u	2x5 = 10 u

Since Natalie and Marion shared the cost of their younger sister's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Natalie and Marion at first and in the end remains the same.  Make the difference in the amounts between Natalie and Marion at first and in the end the same. LCM of 5 and 2 is 10.

Amount that Natalie spent on the gift
= 8 u - 5 u
= 3 u

Percentage of her savings that Natalie spent
= ³₈ x 100%
≈ 37.5%

Answer(s): 37.5%