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Junior Mathematical Olympiad, September 2019

Netherlands 2019 algebra

Problem

At a conference, there were participants from four countries: the Netherlands, Belgium, Germany, and France. There were three times as many participants from the Netherlands as there were Belgians, and three times as many Germans as French. Five of the participants counted the total number of participants (including themselves). They counted , , , , and participants, respectively. Only one of them got the right answer. What is the correct number of participants? A) B) C) D) E)
Solution
C)
Final answer
C

Techniques

Integers