Challenge 2

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.