Wendy, Sabrina and Lynn shared $390 among themselves. Sabrina and Lynn shared ²₅ of the money equally. After Sabrina gave away some of her money to Wendy, Lynn had 3 times as much money as Sabrina. How much money did Sabrina give to Wendy?

	Sabrina	Lynn	Wendy	Total
Before	1x3 = 3 u	1x3 = 3 u	3x3 = 9 u	15 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	11 u	15 u

Sabrina and Lynn shared ²₅ of the money equally.

Fraction of the money that Sabrina and Lynn each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Lynn had remains unchanged.  The amount that Lynn had is the unchanged quantity. Make the amount that Lynn had the same. LCM of 1 and 3 is 3.

The amount that Sabrina and Lynn had at first is the same.

Total amount that they had at first
= 3 u + 3 u + 9 u
= 15 u

15 u = 390

1 u = 390 ÷ 15 = 26

Amount that Sabrina gave to Wendy
= 3 u - 1 u
= 2 u
= 2 x 26
= $52

Answer(s): $52