Erika, Tiffany and Joelle shared $216 among themselves. Tiffany and Joelle shared ⁴₉ of the money equally. After Tiffany gave away some of her money to Erika, Joelle had 4 times as much money as Tiffany. How much money did Tiffany give to Erika?

	Tiffany	Joelle	Erika	Total
Before	2x4 = 8 u	2x4 = 8 u	5x4 = 20 u	36 u
Change	- 6 u	No change	+ 6 u
After	1x2 = 2 u	4x2 = 8 u	26 u	36 u

Tiffany and Joelle shared ⁴₉ of the money equally.

Fraction of the money that Tiffany and Joelle each had
= ⁴₉ ÷ 2
= ⁴₉ x ¹₂
= ²₉

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 2 and 4 is 8.

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

Total amount that they had at first
= 8 u + 8 u + 20 u
= 36 u

36 u = 216

1 u = 216 ÷ 36 = 6

Amount that Tiffany gave to Erika
= 8 u - 2 u
= 6 u
= 6 x 6
= $36

Answer(s): $36