The Old Uncle's Halloween Puzzle

Algebra Level 3

On halloween, an old uncle bought lots of candies and colored boxes for the kids. When the kids arrived he showed them three type of boxes with different colors of yellow, blue and red. He said that the kids can choose a total of 30 boxes.

In each of the yellow boxes he will put 16 candies. In each of the blue boxes he will put one fourth of the total candies in all the yellow boxes. In each of the red box he will put one fourth of the total candies in all of the blue boxes.

What is the maximum number of candies that the kids can obtain?

Image credit: www.buzzinrome.com
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