Jaslyn, Eva and Elyse had a sum of money. The amount of money Jaslyn had was ⁴₅ of the amount of money Eva had. The ratio of the amount of money Eva had to the total amount of money Elyse and Eva had was 3: 7. After Elyse gave $85 to Eva, she had as much money as Eva. How much more money did Elyse have than Jaslyn in the end?

Jaslyn	Eva	Elyse
4x3 = 12 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
12 u	15 u	20 u

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

	Jaslyn	Eva	Elyse
Before	12 u	15 u	20 u
Change	No change	+ 85	- 85
After	12 u	15 u + 85	20 u - 85

The amount that Elyse and Eva had in the end is the same.

20 u - 85 = 15 u + 85
20 u - 15 u = 85 + 85 
5 u = 170

1 u = 170 ÷ 5 = 34

Amount that Elyse had more than Jaslyn in the end
= 20 u - 85 - 12 u
= 8 u - 85
= 8 x 34 - 85
= 272 - 85
= $187

Answer(s): $187