Algebra · Word problems · Linear equations · Integer constraints · Extremal value
A competition paper consisted of \(24\) multiple-choice questions. A contestant who circled no answer to a question, or circled more than one, received \(0\) points for it; a circled correct answer was worth \(1\) point, and a circled wrong answer cost \(\frac{1}{4}\) of a point. One contestant finished with a total of \(13\) points. At most how many questions can he have answered correctly?
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2009, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source