Tammy, Yoko and Julie had a sum of money. The amount of money Tammy had was ²₅ of the amount of money Yoko had. The ratio of the amount of money Yoko had to the total amount of money Julie and Yoko had was 2: 5. After Julie gave $5 to Yoko, she had as much money as Yoko. How much more money did Julie have than Tammy in the end?

Tammy	Yoko	Julie
2x2 = 4 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
4 u	10 u	15 u

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

	Tammy	Yoko	Julie
Before	4 u	10 u	15 u
Change	No change	+ 5	- 5
After	4 u	10 u + 5	15 u - 5

The amount that Julie and Yoko had in the end is the same.

15 u - 5 = 10 u + 5
15 u - 10 u = 5 + 5 
5 u = 10

1 u = 10 ÷ 5 = 2

Amount that Julie had more than Tammy in the end
= 15 u - 5 - 4 u
= 11 u - 5
= 11 x 2 - 5
= 22 - 5
= $17

Answer(s): $17