Nora, Emily and Xuan shared $480 among themselves. Emily and Xuan shared ³₈ of the money equally. After Emily gave away some of her money to Nora, Xuan had 5 times as much money as Emily. How much money did Emily give to Nora?

	Emily	Xuan	Nora	Total
Before	3x5 = 15 u	3x5 = 15 u	10x5 = 50 u	80 u
Change	- 12 u	No change	+ 12 u
After	1x3 = 3 u	5x3 = 15 u	62 u	80 u

Emily and Xuan shared ³₈ of the money equally.

Fraction of the money that Emily and Xuan each had
= ³₈ ÷ 2
= ³₈ x ¹₂
= ³₁₆

The amount that Xuan had remains unchanged.  The amount that Xuan had is the unchanged quantity. Make the amount that Xuan had the same. LCM of 3 and 5 is 15.

The amount that Emily and Xuan had at first is the same.

Total amount that they had at first
= 15 u + 15 u + 50 u
= 80 u

80 u = 480

1 u = 480 ÷ 80 = 6

Amount that Emily gave to Nora
= 15 u - 3 u
= 12 u
= 12 x 6
= $72

Answer(s): $72