Julie, Jane and Gabby shared $399 among themselves. Jane and Gabby shared ²₇ of the money equally. After Jane gave away some of her money to Julie, Gabby had 3 times as much money as Jane. How much money did Jane give to Julie?

	Jane	Gabby	Julie	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

Jane and Gabby shared ²₇ of the money equally.

Fraction of the money that Jane and Gabby each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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

The amount that Jane and Gabby had at first is the same.

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

21 u = 399

1 u = 399 ÷ 21 = 19

Amount that Jane gave to Julie
= 3 u - 1 u
= 2 u
= 2 x 19
= $38

Answer(s): $38