Opal, Olivia and Jaslyn had a sum of money. The amount of money Opal had was ³₅ of the amount of money Olivia had. The ratio of the amount of money Olivia had to the total amount of money Jaslyn and Olivia had was 3: 7. After Jaslyn gave $85 to Olivia, she had as much money as Olivia. How much more money did Jaslyn have than Opal in the end?

Opal	Olivia	Jaslyn
3x3 = 9 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
9 u	15 u	20 u

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

	Opal	Olivia	Jaslyn
Before	9 u	15 u	20 u
Change	No change	+ 85	- 85
After	9 u	15 u + 85	20 u - 85

The amount that Jaslyn and Olivia 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 Jaslyn had more than Opal in the end
= 20 u - 85 - 9 u
= 11 u - 85
= 11 x 34 - 85
= 374 - 85
= $289

Answer(s): $289