Joelle, Linda and Julie had a sum of money. The amount of money Joelle had was ²₅ of the amount of money Linda had. The ratio of the amount of money Linda had to the total amount of money Julie and Linda had was 3: 8. After Julie gave $95 to Linda, she had as much money as Linda. How much more money did Julie have than Joelle in the end?

Joelle	Linda	Julie
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
6 u	15 u	25 u

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

	Joelle	Linda	Julie
Before	6 u	15 u	25 u
Change	No change	+ 95	- 95
After	6 u	15 u + 95	25 u - 95

The amount that Julie and Linda had in the end is the same.

25 u - 95 = 15 u + 95
25 u - 15 u = 95 + 95 
10 u = 190

1 u = 190 ÷ 10 = 19

Amount that Julie had more than Joelle in the end
= 25 u - 95 - 6 u
= 19 u - 95
= 19 x 19 - 95
= 361 - 95
= $266

Answer(s): $266