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

Dana	Gabby	Fiona
3x3 = 9 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
9 u	15 u	25 u

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

	Dana	Gabby	Fiona
Before	9 u	15 u	25 u
Change	No change	+ 35	- 35
After	9 u	15 u + 35	25 u - 35

The amount that Fiona and Gabby had in the end is the same.

25 u - 35 = 15 u + 35
25 u - 15 u = 35 + 35 
10 u = 70

1 u = 70 ÷ 10 = 7

Amount that Fiona had more than Dana in the end
= 25 u - 35 - 9 u
= 16 u - 35
= 16 x 7 - 35
= 112 - 35
= $77

Answer(s): $77