Ivory, Xandra and Anna had a sum of money. The amount of money Ivory 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 Anna and Xandra had was 3: 7. After Anna gave $38 to Xandra, she had as much money as Xandra. How much more money did Anna have than Ivory in the end?

Ivory	Xandra	Anna
3x3 = 9 u	4x3 = 12 u
	3x4 = 12 u	4x4 = 16 u
9 u	12 u	16 u

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

	Ivory	Xandra	Anna
Before	9 u	12 u	16 u
Change	No change	+ 38	- 38
After	9 u	12 u + 38	16 u - 38

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

16 u - 38 = 12 u + 38
16 u - 12 u = 38 + 38 
4 u = 76

1 u = 76 ÷ 4 = 19

Amount that Anna had more than Ivory in the end
= 16 u - 38 - 9 u
= 7 u - 38
= 7 x 19 - 38
= 133 - 38
= $95

Answer(s): $95