Yen, Xandra and Emily had a sum of money. The amount of money Yen had was ³₄ of the amount of money Xandra had. The ratio of the amount of money Xandra had to the total amount of money Emily and Xandra had was 2: 5. After Emily gave $33 to Xandra, she had as much money as Xandra. How much more money did Emily have than Yen in the end?

Yen	Xandra	Emily
3x1 = 3 u	4x1 = 4 u
	2x2 = 4 u	3x2 = 6 u
3 u	4 u	6 u

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

	Yen	Xandra	Emily
Before	3 u	4 u	6 u
Change	No change	+ 33	- 33
After	3 u	4 u + 33	6 u - 33

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

6 u - 33 = 4 u + 33
6 u - 4 u = 33 + 33 
2 u = 66

1 u = 66 ÷ 2 = 33

Amount that Emily had more than Yen in the end
= 6 u - 33 - 3 u
= 3 u - 33
= 3 x 33 - 33
= 99 - 33
= $66

Answer(s): $66