Jaslyn, Julie and Barbara had a sum of money. The amount of money Jaslyn had was ³₅ of the amount of money Julie had. The ratio of the amount of money Julie had to the total amount of money Barbara and Julie had was 2: 5. After Barbara gave $100 to Julie, she had as much money as Julie. How much more money did Barbara have than Jaslyn in the end?

Jaslyn	Julie	Barbara
3x2 = 6 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
6 u	10 u	15 u

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

	Jaslyn	Julie	Barbara
Before	6 u	10 u	15 u
Change	No change	+ 100	- 100
After	6 u	10 u + 100	15 u - 100

The amount that Barbara and Julie had in the end is the same.

15 u - 100 = 10 u + 100
15 u - 10 u = 100 + 100 
5 u = 200

1 u = 200 ÷ 5 = 40

Amount that Barbara had more than Jaslyn in the end
= 15 u - 100 - 6 u
= 9 u - 100
= 9 x 40 - 100
= 360 - 100
= $260

Answer(s): $260