Joelle, Lynn and Irene had a sum of money. The amount of money Joelle had was ²₅ of the amount of money Lynn had. The ratio of the amount of money Lynn had to the total amount of money Irene and Lynn had was 3: 8. After Irene gave $60 to Lynn, she had as much money as Lynn. How much more money did Irene have than Joelle in the end?

Joelle	Lynn	Irene
2x3 = 6 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
6 u	15 u	25 u

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

	Joelle	Lynn	Irene
Before	6 u	15 u	25 u
Change	No change	+ 60	- 60
After	6 u	15 u + 60	25 u - 60

The amount that Irene and Lynn had in the end is the same.

25 u - 60 = 15 u + 60
25 u - 15 u = 60 + 60 
10 u = 120

1 u = 120 ÷ 10 = 12

Amount that Irene had more than Joelle in the end
= 25 u - 60 - 6 u
= 19 u - 60
= 19 x 12 - 60
= 228 - 60
= $168

Answer(s): $168