Elyse, Erika and Usha shared $576 among themselves. Erika and Usha shared ³₈ of the money equally. After Erika gave away some of her money to Elyse, Usha had 6 times as much money as Erika. How much money did Erika give to Elyse?

	Erika	Usha	Elyse	Total
Before	3x6 = 18 u	3x6 = 18 u	10x6 = 60 u	96 u
Change	- 15 u	No change	+ 15 u
After	1x3 = 3 u	6x3 = 18 u	75 u	96 u

Erika and Usha shared ³₈ of the money equally.

Fraction of the money that Erika and Usha each had
= ³₈ ÷ 2
= ³₈ x ¹₂
= ³₁₆

The amount that Usha had remains unchanged.  The amount that Usha had is the unchanged quantity. Make the amount that Usha had the same. LCM of 3 and 6 is 18.

The amount that Erika and Usha had at first is the same.

Total amount that they had at first
= 18 u + 18 u + 60 u
= 96 u

96 u = 576

1 u = 576 ÷ 96 = 6

Amount that Erika gave to Elyse
= 18 u - 3 u
= 15 u
= 15 x 6
= $90

Answer(s): $90