Usha, Jaslyn and Linda had a sum of money. The amount of money Usha had was ³₅ of the amount of money Jaslyn had. The ratio of the amount of money Jaslyn had to the total amount of money Linda and Jaslyn had was 2: 5. After Linda gave $15 to Jaslyn, she had as much money as Jaslyn. How much more money did Linda have than Usha in the end?

Usha	Jaslyn	Linda
3x2 = 6 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
6 u	10 u	15 u

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

	Usha	Jaslyn	Linda
Before	6 u	10 u	15 u
Change	No change	+ 15	- 15
After	6 u	10 u + 15	15 u - 15

The amount that Linda and Jaslyn had in the end is the same.

15 u - 15 = 10 u + 15
15 u - 10 u = 15 + 15 
5 u = 30

1 u = 30 ÷ 5 = 6

Amount that Linda had more than Usha in the end
= 15 u - 15 - 6 u
= 9 u - 15
= 9 x 6 - 15
= 54 - 15
= $39

Answer(s): $39