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

	Emily	Natalie	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 Emily and Natalie shared the cost of their older brother's gift equally, the amount each paid for the gift is the same. 

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

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

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

Answer(s): 37.5%