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Find the minimum number of red chips

Source: 1971 AHSME Problem 27

April 23, 2014
AMC

Problem Statement

A box contains chips, each of which is red, white, or blue. The number of blue chips is at least half the number of white chips, and at most one third the number of red chips. The number which are white or blue is at least 5555. The minimum number of red chips is
<spanclass=latexbold>(A)</span>24<spanclass=latexbold>(B)</span>33<spanclass=latexbold>(C)</span>45<spanclass=latexbold>(D)</span>54<spanclass=latexbold>(E)</span>57<span class='latex-bold'>(A) </span>24\qquad<span class='latex-bold'>(B) </span>33\qquad<span class='latex-bold'>(C) </span>45\qquad<span class='latex-bold'>(D) </span>54\qquad <span class='latex-bold'>(E) </span>57