Fanny, Winnie and Tina had a sum of money. The amount of money Fanny 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 Tina and Winnie had was 2: 5. After Tina gave $40 to Winnie, she had as much money as Winnie. How much more money did Tina have than Fanny in the end?

Fanny	Winnie	Tina
2x2 = 4 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
4 u	10 u	15 u

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

	Fanny	Winnie	Tina
Before	4 u	10 u	15 u
Change	No change	+ 40	- 40
After	4 u	10 u + 40	15 u - 40

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

15 u - 40 = 10 u + 40
15 u - 10 u = 40 + 40 
5 u = 80

1 u = 80 ÷ 5 = 16

Amount that Tina had more than Fanny in the end
= 15 u - 40 - 4 u
= 11 u - 40
= 11 x 16 - 40
= 176 - 40
= $136

Answer(s): $136