Xandra, Joelle and Fanny had a sum of money. The amount of money Xandra had was ³₅ of the amount of money Joelle had. The ratio of the amount of money Joelle had to the total amount of money Fanny and Joelle had was 3: 8. After Fanny gave $25 to Joelle, she had as much money as Joelle. How much more money did Fanny have than Xandra in the end?

Xandra	Joelle	Fanny
3x3 = 9 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
9 u	15 u	25 u

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

	Xandra	Joelle	Fanny
Before	9 u	15 u	25 u
Change	No change	+ 25	- 25
After	9 u	15 u + 25	25 u - 25

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

25 u - 25 = 15 u + 25
25 u - 15 u = 25 + 25 
10 u = 50

1 u = 50 ÷ 10 = 5

Amount that Fanny had more than Xandra in the end
= 25 u - 25 - 9 u
= 16 u - 25
= 16 x 5 - 25
= 80 - 25
= $55

Answer(s): $55