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Comeback Sharks

Source: 2015 AMC12B #5

February 26, 2015
LaTeXAMCno posts

Problem Statement

The Tigers beat the Sharks 22 out of the first 33 times they played. They then played NN more times, and the Sharks ended up winning at least 95%95\% of all the games played. What is the minimum possible value for NN?
<spanclass=latexbold>(A)</span>35<spanclass=latexbold>(B)</span>37<spanclass=latexbold>(C)</span>39<spanclass=latexbold>(D)</span>41<spanclass=latexbold>(E)</span>43<span class='latex-bold'>(A) </span>35\qquad<span class='latex-bold'>(B) </span>37\qquad<span class='latex-bold'>(C) </span>39\qquad<span class='latex-bold'>(D) </span>41\qquad<span class='latex-bold'>(E) </span>43