Tiffany, Wendy and Marion had a sum of money. The amount of money Tiffany had was ²₃ of the amount of money Wendy had. The ratio of the amount of money Wendy had to the total amount of money Marion and Wendy had was 4: 9. After Marion gave $45 to Wendy, she had as much money as Wendy. How much more money did Marion have than Tiffany in the end?

Tiffany	Wendy	Marion
2x4 = 8 u	3x4 = 12 u
	4x3 = 12 u	5x3 = 15 u
8 u	12 u	15 u

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

	Tiffany	Wendy	Marion
Before	8 u	12 u	15 u
Change	No change	+ 45	- 45
After	8 u	12 u + 45	15 u - 45

The amount that Marion and Wendy had in the end is the same.

15 u - 45 = 12 u + 45
15 u - 12 u = 45 + 45 
3 u = 90

1 u = 90 ÷ 3 = 30

Amount that Marion had more than Tiffany in the end
= 15 u - 45 - 8 u
= 7 u - 45
= 7 x 30 - 45
= 210 - 45
= $165

Answer(s): $165