Jen, Jane and Tiffany had a sum of money. The amount of money Jen had was ³₅ of the amount of money Jane had. The ratio of the amount of money Jane had to the total amount of money Tiffany and Jane had was 2: 7. After Tiffany gave $30 to Jane, she had as much money as Jane. How much more money did Tiffany have than Jen in the end?

Jen	Jane	Tiffany
3x2 = 6 u	5x2 = 10 u
	2x5 = 10 u	5x5 = 25 u
6 u	10 u	25 u

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

	Jen	Jane	Tiffany
Before	6 u	10 u	25 u
Change	No change	+ 30	- 30
After	6 u	10 u + 30	25 u - 30

The amount that Tiffany and Jane had in the end is the same.

25 u - 30 = 10 u + 30
25 u - 10 u = 30 + 30 
15 u = 60

1 u = 60 ÷ 15 = 4

Amount that Tiffany had more than Jen in the end
= 25 u - 30 - 6 u
= 19 u - 30
= 19 x 4 - 30
= 76 - 30
= $46

Answer(s): $46