Roshel, Shannon and Risa shared $288 among themselves. Shannon and Risa shared ⁴₉ of the money equally. After Shannon gave away some of her money to Roshel, Risa had 4 times as much money as Shannon. How much money did Shannon give to Roshel?

	Shannon	Risa	Roshel	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

Shannon and Risa shared ⁴₉ of the money equally.

Fraction of the money that Shannon and Risa each had
= ⁴₉ ÷ 2
= ⁴₉ x ¹₂
= ²₉

The amount that Risa had remains unchanged.  The amount that Risa had is the unchanged quantity. Make the amount that Risa had the same. LCM of 2 and 4 is 8.

The amount that Shannon and Risa had at first is the same.

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

36 u = 288

1 u = 288 ÷ 36 = 8

Amount that Shannon gave to Roshel
= 8 u - 2 u
= 6 u
= 6 x 8
= $48

Answer(s): $48