Marion, Jen and Anna shared $360 among themselves. Jen and Anna shared ²₉ of the money equally. After Jen gave away some of her money to Marion, Anna had 4 times as much money as Jen. How much money did Jen give to Marion?

	Jen	Anna	Marion	Total
Before	1x4 = 4 u	1x4 = 4 u	7x4 = 28 u	36 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	31 u	36 u

Jen and Anna shared ²₉ of the money equally.

Fraction of the money that Jen and Anna each had
= ²₉ ÷ 2
= ²₉ x ¹₂
= ¹₉

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

The amount that Jen and Anna had at first is the same.

Total amount that they had at first
= 4 u + 4 u + 28 u
= 36 u

36 u = 360

1 u = 360 ÷ 36 = 10

Amount that Jen gave to Marion
= 4 u - 1 u
= 3 u
= 3 x 10
= $30

Answer(s): $30