Mikey was looking through his drawer where he was saving all of his packages of gummy fruit candy. He found a dozen packages of candy altogether. He kept a chart listing how many pieces of candy there were in each package and figured out that he had 81 pieces of candy in all. His chart listed the color of each package, but not the names of the candy. Each kind of candy comes in only one color. The chart looked like this:


Green packages 2 pieces per package
Yellow packages 5 pieces per package
Brown packages 9 pieces per package
Gray packages 12 pieces per package

Each Zing Zong is so big that these packages contain the fewest candies. There are an equal number of Zing Zong packages as Gummy Ape packages. There are 2 dozen pieces of Egg Smasher candies, and a dozen more pieces of Power Busters than Egg Smashers.

Which candy is in each color package, and how many packages of each kind does Mikey have?