Julie, Yen and Diana had a sum of money. The amount of money Julie had was ³₄ of the amount of money Yen had. The ratio of the amount of money Yen had to the total amount of money Diana and Yen had was 2: 5. After Diana gave $74 to Yen, she had as much money as Yen. How much more money did Diana have than Julie in the end?

Julie	Yen	Diana
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

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

	Julie	Yen	Diana
Before	3 u	4 u	6 u
Change	No change	+ 74	- 74
After	3 u	4 u + 74	6 u - 74

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

6 u - 74 = 4 u + 74
6 u - 4 u = 74 + 74 
2 u = 148

1 u = 148 ÷ 2 = 74

Amount that Diana had more than Julie in the end
= 6 u - 74 - 3 u
= 3 u - 74
= 3 x 74 - 74
= 222 - 74
= $148

Answer(s): $148