Barbara, Xuan and Joelle shared $357 among themselves. Xuan and Joelle shared ²₇ of the money equally. After Xuan gave away some of her money to Barbara, Joelle had 3 times as much money as Xuan. How much money did Xuan give to Barbara?

	Xuan	Joelle	Barbara	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

Xuan and Joelle shared ²₇ of the money equally.

Fraction of the money that Xuan and Joelle each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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

The amount that Xuan and Joelle had at first is the same.

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

21 u = 357

1 u = 357 ÷ 21 = 17

Amount that Xuan gave to Barbara
= 3 u - 1 u
= 2 u
= 2 x 17
= $34

Answer(s): $34