Cathy, Victoria and Nora shared $594 among themselves. Victoria and Nora shared ²₉ of the money equally. After Victoria gave away some of her money to Cathy, Nora had 3 times as much money as Victoria. How much money did Victoria give to Cathy?

	Victoria	Nora	Cathy	Total
Before	1x3 = 3 u	1x3 = 3 u	7x3 = 21 u	27 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	23 u	27 u

Victoria and Nora shared ²₉ of the money equally.

Fraction of the money that Victoria and Nora each had
= ²₉ ÷ 2
= ²₉ x ¹₂
= ¹₉

The amount that Nora had remains unchanged.  The amount that Nora had is the unchanged quantity. Make the amount that Nora had the same. LCM of 1 and 3 is 3.

The amount that Victoria and Nora had at first is the same.

Total amount that they had at first
= 3 u + 3 u + 21 u
= 27 u

27 u = 594

1 u = 594 ÷ 27 = 22

Amount that Victoria gave to Cathy
= 3 u - 1 u
= 2 u
= 2 x 22
= $44

Answer(s): $44