Xylia, Xandra and Pamela had a sum of money. The amount of money Xylia 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 Pamela and Xandra had was 3: 7. After Pamela gave $70 to Xandra, she had as much money as Xandra. How much more money did Pamela have than Xylia in the end?

Xylia	Xandra	Pamela
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.

	Xylia	Xandra	Pamela
Before	9 u	12 u	16 u
Change	No change	+ 70	- 70
After	9 u	12 u + 70	16 u - 70

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

16 u - 70 = 12 u + 70
16 u - 12 u = 70 + 70 
4 u = 140

1 u = 140 ÷ 4 = 35

Amount that Pamela had more than Xylia in the end
= 16 u - 70 - 9 u
= 7 u - 70
= 7 x 35 - 70
= 245 - 70
= $175

Answer(s): $175