Hazel, Fanny and Xandra shared $240 among themselves. Fanny and Xandra shared ²₅ of the money equally. After Fanny gave away some of her money to Hazel, Xandra had 4 times as much money as Fanny. How much money did Fanny give to Hazel?

	Fanny	Xandra	Hazel	Total
Before	1x4 = 4 u	1x4 = 4 u	3x4 = 12 u	20 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	15 u	20 u

Fanny and Xandra shared ²₅ of the money equally.

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

The amount that Xandra had remains unchanged.  The amount that Xandra had is the unchanged quantity. Make the amount that Xandra had the same. LCM of 1 and 4 is 4.

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

Total amount that they had at first
= 4 u + 4 u + 12 u
= 20 u

20 u = 240

1 u = 240 ÷ 20 = 12

Amount that Fanny gave to Hazel
= 4 u - 1 u
= 3 u
= 3 x 12
= $36

Answer(s): $36