Joelle, Julie and Xuan had a sum of money. The amount of money Joelle had was ²₅ of the amount of money Julie had. The ratio of the amount of money Julie had to the total amount of money Xuan and Julie had was 2: 7. After Xuan gave $75 to Julie, she had as much money as Julie. How much more money did Xuan have than Joelle in the end?

Joelle	Julie	Xuan
2x2 = 4 u	5x2 = 10 u
	2x5 = 10 u	5x5 = 25 u
4 u	10 u	25 u

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

	Joelle	Julie	Xuan
Before	4 u	10 u	25 u
Change	No change	+ 75	- 75
After	4 u	10 u + 75	25 u - 75

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

25 u - 75 = 10 u + 75
25 u - 10 u = 75 + 75 
15 u = 150

1 u = 150 ÷ 15 = 10

Amount that Xuan had more than Joelle in the end
= 25 u - 75 - 4 u
= 21 u - 75
= 21 x 10 - 75
= 210 - 75
= $135

Answer(s): $135