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

Opal	Xylia	Jen
3x2 = 6 u	5x2 = 10 u
	2x5 = 10 u	3x5 = 15 u
6 u	10 u	15 u

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

	Opal	Xylia	Jen
Before	6 u	10 u	15 u
Change	No change	+ 5	- 5
After	6 u	10 u + 5	15 u - 5

The amount that Jen and Xylia had in the end is the same.

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

1 u = 10 ÷ 5 = 2

Amount that Jen had more than Opal in the end
= 15 u - 5 - 6 u
= 9 u - 5
= 9 x 2 - 5
= 18 - 5
= $13

Answer(s): $13