Algebra · Word problems · Linear equations · Integer constraints · Divisibility · Optimization
Jure wanted to prepare presents for nine friends, giving each friend two chocolate bars. In the shop he saw that a hazelnut chocolate bar costs \(6\) tolars more than a milk one, and that each of them costs a whole number of tolars. He decided to spend \(822\) tolars, arranging the purchase so that as many friends as possible receive two different chocolate bars. What was the price of a milk chocolate bar?
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2001, 1. letnik, category A, problem 4. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source