Jade, Irene and Winnie shared $459 among themselves. Irene and Winnie shared ²₉ of the money equally. After Irene gave away some of her money to Jade, Winnie had 3 times as much money as Irene. How much money did Irene give to Jade?

	Irene	Winnie	Jade	Total
Before	1x3 = 3 u	1x3 = 3 u	7x3 = 21 u	27 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	23 u	27 u

Irene and Winnie shared ²₉ of the money equally.

Fraction of the money that Irene and Winnie each had
= ²₉ ÷ 2
= ²₉ x ¹₂
= ¹₉

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

The amount that Irene and Winnie had at first is the same.

Total amount that they had at first
= 3 u + 3 u + 21 u
= 27 u

27 u = 459

1 u = 459 ÷ 27 = 17

Amount that Irene gave to Jade
= 3 u - 1 u
= 2 u
= 2 x 17
= $34

Answer(s): $34