Jaslyn's and Penelope's savings were in the ratio of 4 : 7. Both of them shared the cost of their younger sister's souvenir equally. Jaslyn's remaining savings was ¹₃ as much as Penelope's savings. What percentage of her savings did Penelope spend? Correct the answer to 1 decimal place.

	Jaslyn	Penelope	Difference
Before	4x2 = 8 u	7x2 = 14 u	3x2 = 6 u
Change	- 5 u	- 5 u
After	1x3 = 3 u	3x3 = 9 u	2x3 = 6 u

Since Jaslyn and Penelope shared the cost of their younger sister's souvenir equally, the amount each paid for the souvenir is the same. 

So, the difference in the amounts between Jaslyn and Penelope at first and in the end remains the same.  Make the difference in the amounts between Jaslyn and Penelope at first and in the end the same. LCM of 3 and 2 is 6.

Amount that Penelope spent on the souvenir
= 14 u - 9 u
= 5 u

Percentage of her savings that Penelope spent
= ⁵₁₄ x 100%
≈ 35.7%

Answer(s): 35.7%