For decorating accents in her living room, Lisa bought three bags of marbles, colored red, blue, and green.
Each bag held the same number of marbles.
She emptied the red marbles into the first bowl, the blue marbles into the second bowl, and the green marbles into the third bowl.
To mix them up, she scooped up some (but not all) of the marbles in the first bowl and mixed them into the marbles that were in the second bowl.
Then she scooped up some of the marbles in the second bowl and mixed them into the marbles that were in the third bowl.
Finally, she scooped up some of the marbles in the third bowl and mixed them into the marbles that remained in the first bowl.
She scooped up the same number of marbles each time.
When she was finished, each bowl contained a pretty blend of colors in which no color present in the mixture constituted more than half
or less than a fourth of the marbles in the bowl.
When she finished there were 12 red marbles in third bowl.
What was the total number of marbles, how were the colors divided among the bowls, and how many marbles did the scoop hold?