Pamela, Linda and Julie had a sum of money. The amount of money Pamela 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 2: 5. After Julie gave $55 to Linda, she had as much money as Linda. How much more money did Julie have than Pamela in the end?

Pamela	Linda	Julie
2x2 = 4 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
4 u	10 u	15 u

The amount that Linda had is the repeated identity. Make the amount that Linda had the same.  LCM of 5 and 2 is 10.

	Pamela	Linda	Julie
Before	4 u	10 u	15 u
Change	No change	+ 55	- 55
After	4 u	10 u + 55	15 u - 55

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

15 u - 55 = 10 u + 55
15 u - 10 u = 55 + 55 
5 u = 110

1 u = 110 ÷ 5 = 22

Amount that Julie had more than Pamela in the end
= 15 u - 55 - 4 u
= 11 u - 55
= 11 x 22 - 55
= 242 - 55
= $187

Answer(s): $187