Julie, Winnie and Usha had a sum of money. The amount of money Julie had was ⁴₅ of the amount of money Winnie had. The ratio of the amount of money Winnie had to the total amount of money Usha and Winnie had was 3: 7. After Usha gave $95 to Winnie, she had as much money as Winnie. How much more money did Usha have than Julie in the end?

Julie	Winnie	Usha
4x3 = 12 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
12 u	15 u	20 u

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

	Julie	Winnie	Usha
Before	12 u	15 u	20 u
Change	No change	+ 95	- 95
After	12 u	15 u + 95	20 u - 95

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

20 u - 95 = 15 u + 95
20 u - 15 u = 95 + 95 
5 u = 190

1 u = 190 ÷ 5 = 38

Amount that Usha had more than Julie in the end
= 20 u - 95 - 12 u
= 8 u - 95
= 8 x 38 - 95
= 304 - 95
= $209

Answer(s): $209