Kathy, Abi and Cathy shared $396 among themselves. Abi and Cathy shared ⁴₉ of the money equally. After Abi gave away some of her money to Kathy, Cathy had 4 times as much money as Abi. How much money did Abi give to Kathy?

	Abi	Cathy	Kathy	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

Abi and Cathy shared ⁴₉ of the money equally.

Fraction of the money that Abi and Cathy each had
= ⁴₉ ÷ 2
= ⁴₉ x ¹₂
= ²₉

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

The amount that Abi and Cathy had at first is the same.

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

36 u = 396

1 u = 396 ÷ 36 = 11

Amount that Abi gave to Kathy
= 8 u - 2 u
= 6 u
= 6 x 11
= $66

Answer(s): $66