Thought That Counts

Chris Maslanka devised this brainteaser for the Gathering for Gardner held in Atlanta in April 2004:

A bouquet contains red roses, whites roses, and blue roses. The total number of red roses and white roses is 100; the total number of white roses and blue roses is 53; and the total number of blue roses and red roses is less than that.

How many roses of each color are there?

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