Fanny, Nora and Erika shared $483 among themselves. Nora and Erika shared ²₇ of the money equally. After Nora gave away some of her money to Fanny, Erika had 3 times as much money as Nora. How much money did Nora give to Fanny?

	Nora	Erika	Fanny	Total
Before	1x3 = 3 u	1x3 = 3 u	5x3 = 15 u	21 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	17 u	21 u

Nora and Erika shared ²₇ of the money equally.

Fraction of the money that Nora and Erika each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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

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

Total amount that they had at first
= 3 u + 3 u + 15 u
= 21 u

21 u = 483

1 u = 483 ÷ 21 = 23

Amount that Nora gave to Fanny
= 3 u - 1 u
= 2 u
= 2 x 23
= $46

Answer(s): $46