Linda, Hilda and Tammy had a sum of money. The amount of money Linda had was ³₄ of the amount of money Hilda had. The ratio of the amount of money Hilda had to the total amount of money Tammy and Hilda had was 3: 8. After Tammy gave $92 to Hilda, she had as much money as Hilda. How much more money did Tammy have than Linda in the end?

Linda	Hilda	Tammy
3x3 = 9 u	4x3 = 12 u
	3x4 = 12 u	5x4 = 20 u
9 u	12 u	20 u

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

	Linda	Hilda	Tammy
Before	9 u	12 u	20 u
Change	No change	+ 92	- 92
After	9 u	12 u + 92	20 u - 92

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

20 u - 92 = 12 u + 92
20 u - 12 u = 92 + 92 
8 u = 184

1 u = 184 ÷ 8 = 23

Amount that Tammy had more than Linda in the end
= 20 u - 92 - 9 u
= 11 u - 92
= 11 x 23 - 92
= 253 - 92
= $161

Answer(s): $161