Opal, Tiffany and Irene shared $351 among themselves. Tiffany and Irene shared ²₉ of the money equally. After Tiffany gave away some of her money to Opal, Irene had 3 times as much money as Tiffany. How much money did Tiffany give to Opal?

	Tiffany	Irene	Opal	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

Tiffany and Irene shared ²₉ of the money equally.

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

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

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

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

27 u = 351

1 u = 351 ÷ 27 = 13

Amount that Tiffany gave to Opal
= 3 u - 1 u
= 2 u
= 2 x 13
= $26

Answer(s): $26