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

Opal	Cindy	Fanny
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
6 u	15 u	25 u

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

	Opal	Cindy	Fanny
Before	6 u	15 u	25 u
Change	No change	+ 35	- 35
After	6 u	15 u + 35	25 u - 35

The amount that Fanny and Cindy 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 Fanny had more than Opal in the end
= 25 u - 35 - 6 u
= 19 u - 35
= 19 x 7 - 35
= 133 - 35
= $98

Answer(s): $98