Nicole, Gem and Min shared $210 among themselves. Gem and Min shared ³₇ of the money equally. After Gem gave away some of her money to Nicole, Min had 5 times as much money as Gem. How much money did Gem give to Nicole?

	Gem	Min	Nicole	Total
Before	3x5 = 15 u	3x5 = 15 u	8x5 = 40 u	70 u
Change	- 12 u	No change	+ 12 u
After	1x3 = 3 u	5x3 = 15 u	52 u	70 u

Gem and Min shared ³₇ of the money equally.

Fraction of the money that Gem 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 5 is 15.

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

Total amount that they had at first
= 15 u + 15 u + 40 u
= 70 u

70 u = 210

1 u = 210 ÷ 70 = 3

Amount that Gem gave to Nicole
= 15 u - 3 u
= 12 u
= 12 x 3
= $36

Answer(s): $36