Victoria, Nora and Penelope shared $315 among themselves. Nora and Penelope shared ²₅ of the money equally. After Nora gave away some of her money to Victoria, Penelope had 3 times as much money as Nora. How much money did Nora give to Victoria?

	Nora	Penelope	Victoria	Total
Before	1x3 = 3 u	1x3 = 3 u	3x3 = 9 u	15 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	11 u	15 u

Nora and Penelope shared ²₅ of the money equally.

Fraction of the money that Nora and Penelope each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

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

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

Total amount that they had at first
= 3 u + 3 u + 9 u
= 15 u

15 u = 315

1 u = 315 ÷ 15 = 21

Amount that Nora gave to Victoria
= 3 u - 1 u
= 2 u
= 2 x 21
= $42

Answer(s): $42