Winnie, Shannon and Eva shared $300 among themselves. Shannon and Eva shared ²₅ of the money equally. After Shannon gave away some of her money to Winnie, Eva had 4 times as much money as Shannon. How much money did Shannon give to Winnie?

	Shannon	Eva	Winnie	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

Shannon and Eva shared ²₅ of the money equally.

Fraction of the money that Shannon and Eva each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

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

The amount that Shannon and Eva had at first is the same.

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

20 u = 300

1 u = 300 ÷ 20 = 15

Amount that Shannon gave to Winnie
= 4 u - 1 u
= 3 u
= 3 x 15
= $45

Answer(s): $45