Lynn, Lucy and Kimberly shared $462 among themselves. Lucy and Kimberly shared ²₇ of the money equally. After Lucy gave away some of her money to Lynn, Kimberly had 3 times as much money as Lucy. How much money did Lucy give to Lynn?

	Lucy	Kimberly	Lynn	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

Lucy and Kimberly shared ²₇ of the money equally.

Fraction of the money that Lucy and Kimberly each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

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

The amount that Lucy and Kimberly had at first is the same.

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

21 u = 462

1 u = 462 ÷ 21 = 22

Amount that Lucy gave to Lynn
= 3 u - 1 u
= 2 u
= 2 x 22
= $44

Answer(s): $44