Ivory, Jen and Raeann shared $576 among themselves. Jen and Raeann shared ³₈ of the money equally. After Jen gave away some of her money to Ivory, Raeann had 4 times as much money as Jen. How much money did Jen give to Ivory?

	Jen	Raeann	Ivory	Total
Before	3x4 = 12 u	3x4 = 12 u	10x4 = 40 u	64 u
Change	- 9 u	No change	+ 9 u
After	1x3 = 3 u	4x3 = 12 u	49 u	64 u

Jen and Raeann shared ³₈ of the money equally.

Fraction of the money that Jen and Raeann each had
= ³₈ ÷ 2
= ³₈ x ¹₂
= ³₁₆

The amount that Raeann had remains unchanged.  The amount that Raeann had is the unchanged quantity. Make the amount that Raeann had the same. LCM of 3 and 4 is 12.

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

Total amount that they had at first
= 12 u + 12 u + 40 u
= 64 u

64 u = 576

1 u = 576 ÷ 64 = 9

Amount that Jen gave to Ivory
= 12 u - 3 u
= 9 u
= 9 x 9
= $81

Answer(s): $81