Kathy, Jade and Tina shared $252 among themselves. Jade and Tina shared ²₇ of the money equally. After Jade gave away some of her money to Kathy, Tina had 6 times as much money as Jade. How much money did Jade give to Kathy?

	Jade	Tina	Kathy	Total
Before	1x6 = 6 u	1x6 = 6 u	5x6 = 30 u	42 u
Change	- 5 u	No change	+ 5 u
After	1x1 = 1 u	6x1 = 6 u	35 u	42 u

Jade and Tina shared ²₇ of the money equally.

Fraction of the money that Jade and Tina each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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

The amount that Jade and Tina had at first is the same.

Total amount that they had at first
= 6 u + 6 u + 30 u
= 42 u

42 u = 252

1 u = 252 ÷ 42 = 6

Amount that Jade gave to Kathy
= 6 u - 1 u
= 5 u
= 5 x 6
= $30

Answer(s): $30