Emily, Shiyun and Tina shared $384 among themselves. Shiyun and Tina shared ³₈ of the money equally. After Shiyun gave away some of her money to Emily, Tina had 6 times as much money as Shiyun. How much money did Shiyun give to Emily?

	Shiyun	Tina	Emily	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

Shiyun and Tina shared ³₈ of the money equally.

Fraction of the money that Shiyun and Tina each had
= ³₈ ÷ 2
= ³₈ x ¹₂
= ³₁₆

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

The amount that Shiyun and Tina had at first is the same.

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

96 u = 384

1 u = 384 ÷ 96 = 4

Amount that Shiyun gave to Emily
= 18 u - 3 u
= 15 u
= 15 x 4
= $60

Answer(s): $60