Rachel, Linda and Ivory shared $216 among themselves. Linda and Ivory shared ²₉ of the money equally. After Linda gave away some of her money to Rachel, Ivory had 4 times as much money as Linda. How much money did Linda give to Rachel?

	Linda	Ivory	Rachel	Total
Before	1x4 = 4 u	1x4 = 4 u	7x4 = 28 u	36 u
Change	- 3 u	No change	+ 3 u
After	1x1 = 1 u	4x1 = 4 u	31 u	36 u

Linda and Ivory shared ²₉ of the money equally.

Fraction of the money that Linda and Ivory each had
= ²₉ ÷ 2
= ²₉ x ¹₂
= ¹₉

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 4 is 4.

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

Total amount that they had at first
= 4 u + 4 u + 28 u
= 36 u

36 u = 216

1 u = 216 ÷ 36 = 6

Amount that Linda gave to Rachel
= 4 u - 1 u
= 3 u
= 3 x 6
= $18

Answer(s): $18