Winnie, Rachel and Joelle had a sum of money. The amount of money Winnie had was ²₅ of the amount of money Rachel had. The ratio of the amount of money Rachel had to the total amount of money Joelle and Rachel had was 2: 5. After Joelle gave $15 to Rachel, she had as much money as Rachel. How much more money did Joelle have than Winnie in the end?

Winnie	Rachel	Joelle
2x2 = 4 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
4 u	10 u	15 u

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

	Winnie	Rachel	Joelle
Before	4 u	10 u	15 u
Change	No change	+ 15	- 15
After	4 u	10 u + 15	15 u - 15

The amount that Joelle and Rachel had in the end is the same.

15 u - 15 = 10 u + 15
15 u - 10 u = 15 + 15 
5 u = 30

1 u = 30 ÷ 5 = 6

Amount that Joelle had more than Winnie in the end
= 15 u - 15 - 4 u
= 11 u - 15
= 11 x 6 - 15
= 66 - 15
= $51

Answer(s): $51