Raeann, Emily and Usha had a sum of money. The amount of money Raeann had was ³₄ of the amount of money Emily had. The ratio of the amount of money Emily had to the total amount of money Usha and Emily had was 2: 5. After Usha gave $29 to Emily, she had as much money as Emily. How much more money did Usha have than Raeann in the end?

Raeann	Emily	Usha
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

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

	Raeann	Emily	Usha
Before	3 u	4 u	6 u
Change	No change	+ 29	- 29
After	3 u	4 u + 29	6 u - 29

The amount that Usha and Emily had in the end is the same.

6 u - 29 = 4 u + 29
6 u - 4 u = 29 + 29 
2 u = 58

1 u = 58 ÷ 2 = 29

Amount that Usha had more than Raeann in the end
= 6 u - 29 - 3 u
= 3 u - 29
= 3 x 29 - 29
= 87 - 29
= $58

Answer(s): $58