Emily, Emma and Yoko shared $448 among themselves. Emma and Yoko shared ³₇ of the money equally. After Emma gave away some of her money to Emily, Yoko had 4 times as much money as Emma. How much money did Emma give to Emily?

	Emma	Yoko	Emily	Total
Before	3x4 = 12 u	3x4 = 12 u	8x4 = 32 u	56 u
Change	- 9 u	No change	+ 9 u
After	1x3 = 3 u	4x3 = 12 u	41 u	56 u

Emma and Yoko shared ³₇ of the money equally.

Fraction of the money that Emma and Yoko each had
= ³₇ ÷ 2
= ³₇ x ¹₂
= ³₁₄

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

The amount that Emma and Yoko had at first is the same.

Total amount that they had at first
= 12 u + 12 u + 32 u
= 56 u

56 u = 448

1 u = 448 ÷ 56 = 8

Amount that Emma gave to Emily
= 12 u - 3 u
= 9 u
= 9 x 8
= $72

Answer(s): $72