Xandra, Opal and Dana had a sum of money. The amount of money Xandra had was ³₄ of the amount of money Opal had. The ratio of the amount of money Opal had to the total amount of money Dana and Opal had was 3: 7. After Dana gave $44 to Opal, she had as much money as Opal. How much more money did Dana have than Xandra in the end?

Xandra	Opal	Dana
3x3 = 9 u	4x3 = 12 u
	3x4 = 12 u	4x4 = 16 u
9 u	12 u	16 u

The amount that Opal had is the repeated identity. Make the amount that Opal had the same.  LCM of 4 and 3 is 12.

	Xandra	Opal	Dana
Before	9 u	12 u	16 u
Change	No change	+ 44	- 44
After	9 u	12 u + 44	16 u - 44

The amount that Dana and Opal had in the end is the same.

16 u - 44 = 12 u + 44
16 u - 12 u = 44 + 44 
4 u = 88

1 u = 88 ÷ 4 = 22

Amount that Dana had more than Xandra in the end
= 16 u - 44 - 9 u
= 7 u - 44
= 7 x 22 - 44
= 154 - 44
= $110

Answer(s): $110