Anna, Marion and Erika had a sum of money. The amount of money Anna had was ³₄ of the amount of money Marion had. The ratio of the amount of money Marion had to the total amount of money Erika and Marion had was 2: 5. After Erika gave $93 to Marion, she had as much money as Marion. How much more money did Erika have than Anna in the end?

Anna	Marion	Erika
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

The amount that Marion had is the repeated identity. Make the amount that Marion had the same.  LCM of 4 and 2 is 4.

	Anna	Marion	Erika
Before	3 u	4 u	6 u
Change	No change	+ 93	- 93
After	3 u	4 u + 93	6 u - 93

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

6 u - 93 = 4 u + 93
6 u - 4 u = 93 + 93 
2 u = 186

1 u = 186 ÷ 2 = 93

Amount that Erika had more than Anna in the end
= 6 u - 93 - 3 u
= 3 u - 93
= 3 x 93 - 93
= 279 - 93
= $186

Answer(s): $186