MathDB
Red and Black Balls

Source: AHSME 1963 Problem 19

January 9, 2014
AMC

Problem Statement

In counting nn colored balls, some red and some black, it was found that 4949 of the first 5050 counted were red. Thereafter, 77 out of every 88 counted were red. If, in all, 90%90\% or more of the balls counted were red, the maximum value of nn is:
<spanclass=latexbold>(A)</span> 225<spanclass=latexbold>(B)</span> 210<spanclass=latexbold>(C)</span> 200<spanclass=latexbold>(D)</span> 180<spanclass=latexbold>(E)</span> 175<span class='latex-bold'>(A)</span>\ 225 \qquad <span class='latex-bold'>(B)</span>\ 210 \qquad <span class='latex-bold'>(C)</span>\ 200 \qquad <span class='latex-bold'>(D)</span>\ 180 \qquad <span class='latex-bold'>(E)</span>\ 175