Linda, Yen and Nora had a sum of money. The amount of money Linda had was ³₅ of the amount of money Yen had. The ratio of the amount of money Yen had to the total amount of money Nora and Yen had was 3: 7. After Nora gave $40 to Yen, she had as much money as Yen. How much more money did Nora have than Linda in the end?

Linda	Yen	Nora
3x3 = 9 u	5x3 = 15 u
	3x5 = 15 u	4x5 = 20 u
9 u	15 u	20 u

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

	Linda	Yen	Nora
Before	9 u	15 u	20 u
Change	No change	+ 40	- 40
After	9 u	15 u + 40	20 u - 40

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

20 u - 40 = 15 u + 40
20 u - 15 u = 40 + 40 
5 u = 80

1 u = 80 ÷ 5 = 16

Amount that Nora had more than Linda in the end
= 20 u - 40 - 9 u
= 11 u - 40
= 11 x 16 - 40
= 176 - 40
= $136

Answer(s): $136