Jean, Kylie and Pamela had a sum of money. The amount of money Jean had was ³₅ of the amount of money Kylie had. The ratio of the amount of money Kylie had to the total amount of money Pamela and Kylie had was 2: 7. After Pamela gave $75 to Kylie, she had as much money as Kylie. How much more money did Pamela have than Jean in the end?

Jean	Kylie	Pamela
3x2 = 6 u	5x2 = 10 u
	2x5 = 10 u	5x5 = 25 u
6 u	10 u	25 u

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

	Jean	Kylie	Pamela
Before	6 u	10 u	25 u
Change	No change	+ 75	- 75
After	6 u	10 u + 75	25 u - 75

The amount that Pamela and Kylie had in the end is the same.

25 u - 75 = 10 u + 75
25 u - 10 u = 75 + 75 
15 u = 150

1 u = 150 ÷ 15 = 10

Amount that Pamela had more than Jean in the end
= 25 u - 75 - 6 u
= 19 u - 75
= 19 x 10 - 75
= 190 - 75
= $115

Answer(s): $115