Elyse, Jaslyn and Gillian had a sum of money. The amount of money Elyse 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 Gillian and Jaslyn had was 2: 7. After Gillian gave $75 to Jaslyn, she had as much money as Jaslyn. How much more money did Gillian have than Elyse in the end?

Elyse	Jaslyn	Gillian
3x2 = 6 u	5x2 = 10 u
	2x5 = 10 u	5x5 = 25 u
6 u	10 u	25 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.

	Elyse	Jaslyn	Gillian
Before	6 u	10 u	25 u
Change	No change	+ 75	- 75
After	6 u	10 u + 75	25 u - 75

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

25 u - 75 = 10 u + 75
25 u - 10 u = 75 + 75 
15 u = 150

1 u = 150 ÷ 15 = 10

Amount that Gillian had more than Elyse in the end
= 25 u - 75 - 6 u
= 19 u - 75
= 19 x 10 - 75
= 190 - 75
= $115

Answer(s): $115