Eva, Fanny and Olivia shared $480 among themselves. Fanny and Olivia shared ²₅ of the money equally. After Fanny gave away some of her money to Eva, Olivia had 3 times as much money as Fanny. How much money did Fanny give to Eva?

	Fanny	Olivia	Eva	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

Fanny and Olivia shared ²₅ of the money equally.

Fraction of the money that Fanny and Olivia each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

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

The amount that Fanny and Olivia had at first is the same.

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

15 u = 480

1 u = 480 ÷ 15 = 32

Amount that Fanny gave to Eva
= 3 u - 1 u
= 2 u
= 2 x 32
= $64

Answer(s): $64