Gwen, Raeann and Jean shared $560 among themselves. Raeann and Jean shared ²₇ of the money equally. After Raeann gave away some of her money to Gwen, Jean had 5 times as much money as Raeann. How much money did Raeann give to Gwen?

	Raeann	Jean	Gwen	Total
Before	1x5 = 5 u	1x5 = 5 u	5x5 = 25 u	35 u
Change	- 4 u	No change	+ 4 u
After	1x1 = 1 u	5x1 = 5 u	29 u	35 u

Raeann and Jean shared ²₇ of the money equally.

Fraction of the money that Raeann and Jean each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

The amount that Jean had remains unchanged.  The amount that Jean had is the unchanged quantity. Make the amount that Jean had the same. LCM of 1 and 5 is 5.

The amount that Raeann and Jean had at first is the same.

Total amount that they had at first
= 5 u + 5 u + 25 u
= 35 u

35 u = 560

1 u = 560 ÷ 35 = 16

Amount that Raeann gave to Gwen
= 5 u - 1 u
= 4 u
= 4 x 16
= $64

Answer(s): $64