Number theory · Parity · Counting constraints · Minimisation
There are \(17\) girls and \(12\) boys on a playground. At least how many more children must arrive so that everybody present can then be divided into two groups of the same size, in such a way that each of the two groups contains as many girls as boys?
- A \(1\)
- B \(3\)
- C \(5\)
- D \(7\)
- E \(9\)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2014, 1. letnik, category A, problem A2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source