Gabby, Emma and Mary shared $385 among themselves. Emma and Mary shared ²₇ of the money equally. After Emma gave away some of her money to Gabby, Mary had 5 times as much money as Emma. How much money did Emma give to Gabby?

	Emma	Mary	Gabby	Total
Before	1x5 = 5 u	1x5 = 5 u	5x5 = 25 u	35 u
Change	- 4 u	No change	+ 4 u
After	1x1 = 1 u	5x1 = 5 u	29 u	35 u

Emma and Mary shared ²₇ of the money equally.

Fraction of the money that Emma and Mary each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

The amount that Mary had remains unchanged.  The amount that Mary had is the unchanged quantity. Make the amount that Mary had the same. LCM of 1 and 5 is 5.

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

Total amount that they had at first
= 5 u + 5 u + 25 u
= 35 u

35 u = 385

1 u = 385 ÷ 35 = 11

Amount that Emma gave to Gabby
= 5 u - 1 u
= 4 u
= 4 x 11
= $44

Answer(s): $44