Gillian, Emily and Tiffany shared $294 among themselves. Emily and Tiffany shared ²₇ of the money equally. After Emily gave away some of her money to Gillian, Tiffany had 3 times as much money as Emily. How much money did Emily give to Gillian?

	Emily	Tiffany	Gillian	Total
Before	1x3 = 3 u	1x3 = 3 u	5x3 = 15 u	21 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	17 u	21 u

Emily and Tiffany shared ²₇ of the money equally.

Fraction of the money that Emily and Tiffany each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

The amount that Tiffany had remains unchanged.  The amount that Tiffany had is the unchanged quantity. Make the amount that Tiffany had the same. LCM of 1 and 3 is 3.

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

Total amount that they had at first
= 3 u + 3 u + 15 u
= 21 u

21 u = 294

1 u = 294 ÷ 21 = 14

Amount that Emily gave to Gillian
= 3 u - 1 u
= 2 u
= 2 x 14
= $28

Answer(s): $28