Ivory, Shannon and Tiffany had a sum of money. The amount of money Ivory had was ³₄ of the amount of money Shannon had. The ratio of the amount of money Shannon had to the total amount of money Tiffany and Shannon had was 3: 8. After Tiffany gave $16 to Shannon, she had as much money as Shannon. How much more money did Tiffany have than Ivory in the end?

Ivory	Shannon	Tiffany
3x3 = 9 u	4x3 = 12 u
	3x4 = 12 u	5x4 = 20 u
9 u	12 u	20 u

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

	Ivory	Shannon	Tiffany
Before	9 u	12 u	20 u
Change	No change	+ 16	- 16
After	9 u	12 u + 16	20 u - 16

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

20 u - 16 = 12 u + 16
20 u - 12 u = 16 + 16 
8 u = 32

1 u = 32 ÷ 8 = 4

Amount that Tiffany had more than Ivory in the end
= 20 u - 16 - 9 u
= 11 u - 16
= 11 x 4 - 16
= 44 - 16
= $28

Answer(s): $28