Tiffany, Joelle and Jean had a sum of money. The amount of money Tiffany had was ²₃ of the amount of money Joelle had. The ratio of the amount of money Joelle had to the total amount of money Jean and Joelle had was 4: 9. After Jean gave $48 to Joelle, she had as much money as Joelle. How much more money did Jean have than Tiffany in the end?

Tiffany	Joelle	Jean
2x4 = 8 u	3x4 = 12 u
	4x3 = 12 u	5x3 = 15 u
8 u	12 u	15 u

The amount that Joelle had is the repeated identity. Make the amount that Joelle had the same.  LCM of 3 and 4 is 12.

	Tiffany	Joelle	Jean
Before	8 u	12 u	15 u
Change	No change	+ 48	- 48
After	8 u	12 u + 48	15 u - 48

The amount that Jean and Joelle had in the end is the same.

15 u - 48 = 12 u + 48
15 u - 12 u = 48 + 48 
3 u = 96

1 u = 96 ÷ 3 = 32

Amount that Jean had more than Tiffany in the end
= 15 u - 48 - 8 u
= 7 u - 48
= 7 x 32 - 48
= 224 - 48
= $176

Answer(s): $176