Dana, Winnie and Mary shared $476 among themselves. Winnie and Mary shared ²₇ of the money equally. After Winnie gave away some of her money to Dana, Mary had 4 times as much money as Winnie. How much money did Winnie give to Dana?

	Winnie	Mary	Dana	Total
Before	1x4 = 4 u	1x4 = 4 u	5x4 = 20 u	28 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	23 u	28 u

Winnie and Mary shared ²₇ of the money equally.

Fraction of the money that Winnie and Mary each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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

The amount that Winnie and Mary had at first is the same.

Total amount that they had at first
= 4 u + 4 u + 20 u
= 28 u

28 u = 476

1 u = 476 ÷ 28 = 17

Amount that Winnie gave to Dana
= 4 u - 1 u
= 3 u
= 3 x 17
= $51

Answer(s): $51