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

	Esther	Irene	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 Esther and Irene 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 Esther and Irene at first and in the end remains the same.  Make the difference in the amounts between Esther and Irene at first and in the end the same. LCM of 5 and 2 is 10.

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

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

Answer(s): 37.5%