Raeann, Winnie and Xuan had a sum of money. The amount of money Raeann had was ²₅ of the amount of money Winnie had. The ratio of the amount of money Winnie had to the total amount of money Xuan and Winnie had was 3: 7. After Xuan gave $50 to Winnie, she had as much money as Winnie. How much more money did Xuan have than Raeann in the end?

Raeann	Winnie	Xuan
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
6 u	15 u	20 u

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

	Raeann	Winnie	Xuan
Before	6 u	15 u	20 u
Change	No change	+ 50	- 50
After	6 u	15 u + 50	20 u - 50

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

20 u - 50 = 15 u + 50
20 u - 15 u = 50 + 50 
5 u = 100

1 u = 100 ÷ 5 = 20

Amount that Xuan had more than Raeann in the end
= 20 u - 50 - 6 u
= 14 u - 50
= 14 x 20 - 50
= 280 - 50
= $230

Answer(s): $230