**Problem**

A box contains marbles, each of which is red, white or blue. The number of blue marbles is a least half the number of white marbles and at most one-third the number of red marbles. The number which are white or blue is at least 55. Find the minimum possible number of red marbles. Justify your answer.

**Prize**

Each member of the winning team will receive a one-year membership to the Mathematical Association of America.

**Deadline**

October 28, 2016, 11.59pm

**Rules**

Read carefully the rules before creating a team to solve the problem.

**Submission**

Submit your answers using the following format.