Jean, Jaslyn and Barbara had a sum of money. The amount of money Jean had was ³₅ of the amount of money Jaslyn had. The ratio of the amount of money Jaslyn had to the total amount of money Barbara and Jaslyn had was 3: 8. After Barbara gave $15 to Jaslyn, she had as much money as Jaslyn. How much more money did Barbara have than Jean in the end?

Jean	Jaslyn	Barbara
3x3 = 9 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
9 u	15 u	25 u

The amount that Jaslyn had is the repeated identity. Make the amount that Jaslyn had the same.  LCM of 5 and 3 is 15.

	Jean	Jaslyn	Barbara
Before	9 u	15 u	25 u
Change	No change	+ 15	- 15
After	9 u	15 u + 15	25 u - 15

The amount that Barbara and Jaslyn had in the end is the same.

25 u - 15 = 15 u + 15
25 u - 15 u = 15 + 15 
10 u = 30

1 u = 30 ÷ 10 = 3

Amount that Barbara had more than Jean in the end
= 25 u - 15 - 9 u
= 16 u - 15
= 16 x 3 - 15
= 48 - 15
= $33

Answer(s): $33