Jen's and Raeann's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's present equally. Jen's remaining savings was ¹₄ as much as Raeann's savings. What percentage of her savings did Jen spend? Correct the answer to 1 decimal place.

	Jen	Raeann	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 7 u	- 7 u
After	1x5 = 5 u	4x5 = 20 u	3x5 = 15 u

Since Jen and Raeann shared the cost of their older sister's present equally, the amount each paid for the present is the same. 

So, the difference in the amounts between Jen and Raeann at first and in the end remains the same.  Make the difference in the amounts between Jen and Raeann at first and in the end the same. LCM of 5 and 3 is 15.

Amount that Jen spent on the present
= 12 u - 5 u
= 7 u

Percentage of her savings that Jen spent
= ⁷₁₂ x 100%
≈ 58.3%

Answer(s): 58.3%