Rachel, Jean and Wendy shared $200 among themselves. Jean and Wendy shared ²₅ of the money equally. After Jean gave away some of her money to Rachel, Wendy had 4 times as much money as Jean. How much money did Jean give to Rachel?

	Jean	Wendy	Rachel	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

Jean and Wendy shared ²₅ of the money equally.

Fraction of the money that Jean and Wendy each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

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

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

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

20 u = 200

1 u = 200 ÷ 20 = 10

Amount that Jean gave to Rachel
= 4 u - 1 u
= 3 u
= 3 x 10
= $30

Answer(s): $30