Jaslyn, Nora and Erika had a sum of money. The amount of money Jaslyn had was ³₄ of the amount of money Nora had. The ratio of the amount of money Nora had to the total amount of money Erika and Nora had was 2: 5. After Erika gave $51 to Nora, she had as much money as Nora. How much more money did Erika have than Jaslyn in the end?

Jaslyn	Nora	Erika
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

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

	Jaslyn	Nora	Erika
Before	3 u	4 u	6 u
Change	No change	+ 51	- 51
After	3 u	4 u + 51	6 u - 51

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

6 u - 51 = 4 u + 51
6 u - 4 u = 51 + 51 
2 u = 102

1 u = 102 ÷ 2 = 51

Amount that Erika had more than Jaslyn in the end
= 6 u - 51 - 3 u
= 3 u - 51
= 3 x 51 - 51
= 153 - 51
= $102

Answer(s): $102