Cindy, Jade and Ivory shared $525 among themselves. Jade and Ivory shared ²₇ of the money equally. After Jade gave away some of her money to Cindy, Ivory had 3 times as much money as Jade. How much money did Jade give to Cindy?

	Jade	Ivory	Cindy	Total
Before	1x3 = 3 u	1x3 = 3 u	5x3 = 15 u	21 u
Change	- 2 u	No change	+ 2 u
After	1x1 = 1 u	3x1 = 3 u	17 u	21 u

Jade and Ivory shared ²₇ of the money equally.

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

The amount that Ivory had remains unchanged.  The amount that Ivory had is the unchanged quantity. Make the amount that Ivory had the same. LCM of 1 and 3 is 3.

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

Total amount that they had at first
= 3 u + 3 u + 15 u
= 21 u

21 u = 525

1 u = 525 ÷ 21 = 25

Amount that Jade gave to Cindy
= 3 u - 1 u
= 2 u
= 2 x 25
= $50

Answer(s): $50