Zara, Shannon and Vanessa shared $324 among themselves. Shannon and Vanessa shared ⁴₉ of the money equally. After Shannon gave away some of her money to Zara, Vanessa had 4 times as much money as Shannon. How much money did Shannon give to Zara?

	Shannon	Vanessa	Zara	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 Vanessa shared ⁴₉ of the money equally.

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

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

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

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

36 u = 324

1 u = 324 ÷ 36 = 9

Amount that Shannon gave to Zara
= 8 u - 2 u
= 6 u
= 6 x 9
= $54

Answer(s): $54