Nora, Cathy and Gillian shared $600 among themselves. Cathy and Gillian shared ²₅ of the money equally. After Cathy gave away some of her money to Nora, Gillian had 6 times as much money as Cathy. How much money did Cathy give to Nora?

	Cathy	Gillian	Nora	Total
Before	1x6 = 6 u	1x6 = 6 u	3x6 = 18 u	30 u
Change	- 5 u	No change	+ 5 u
After	1x1 = 1 u	6x1 = 6 u	23 u	30 u

Cathy and Gillian shared ²₅ of the money equally.

Fraction of the money that Cathy and Gillian each had
= ²₅ ÷ 2
= ²₅ x ¹₂
= ¹₅

The amount that Gillian had remains unchanged.  The amount that Gillian had is the unchanged quantity. Make the amount that Gillian had the same. LCM of 1 and 6 is 6.

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

Total amount that they had at first
= 6 u + 6 u + 18 u
= 30 u

30 u = 600

1 u = 600 ÷ 30 = 20

Amount that Cathy gave to Nora
= 6 u - 1 u
= 5 u
= 5 x 20
= $100

Answer(s): $100