Olivia, Linda and Min shared $336 among themselves. Linda and Min shared ³₇ of the money equally. After Linda gave away some of her money to Olivia, Min had 4 times as much money as Linda. How much money did Linda give to Olivia?

	Linda	Min	Olivia	Total
Before	3x4 = 12 u	3x4 = 12 u	8x4 = 32 u	56 u
Change	- 9 u	No change	+ 9 u
After	1x3 = 3 u	4x3 = 12 u	41 u	56 u

Linda and Min shared ³₇ of the money equally.

Fraction of the money that Linda and Min each had
= ³₇ ÷ 2
= ³₇ x ¹₂
= ³₁₄

The amount that Min had remains unchanged.  The amount that Min had is the unchanged quantity. Make the amount that Min had the same. LCM of 3 and 4 is 12.

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

Total amount that they had at first
= 12 u + 12 u + 32 u
= 56 u

56 u = 336

1 u = 336 ÷ 56 = 6

Amount that Linda gave to Olivia
= 12 u - 3 u
= 9 u
= 9 x 6
= $54

Answer(s): $54