Mary, Min and Tammy had a sum of money. The amount of money Mary had was ³₅ of the amount of money Min had. The ratio of the amount of money Min had to the total amount of money Tammy and Min had was 3: 8. After Tammy gave $80 to Min, she had as much money as Min. How much more money did Tammy have than Mary in the end?

Mary	Min	Tammy
3x3 = 9 u	5x3 = 15 u
	3x5 = 15 u	5x5 = 25 u
9 u	15 u	25 u

The amount that Min had is the repeated identity. Make the amount that Min had the same.  LCM of 5 and 3 is 15.

	Mary	Min	Tammy
Before	9 u	15 u	25 u
Change	No change	+ 80	- 80
After	9 u	15 u + 80	25 u - 80

The amount that Tammy and Min had in the end is the same.

25 u - 80 = 15 u + 80
25 u - 15 u = 80 + 80 
10 u = 160

1 u = 160 ÷ 10 = 16

Amount that Tammy had more than Mary in the end
= 25 u - 80 - 9 u
= 16 u - 80
= 16 x 16 - 80
= 256 - 80
= $176

Answer(s): $176