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MathNet 2020 — Math Olympiad Vault — Part 02 Question 56

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 02

Question 56

Andréa, Baptiste and Camille play three-person football. One is goalkeeper; the other two try to score. The scorer becomes goalkeeper for the next attempt.

During the afternoon Andréa played in the field 12 times, Baptiste 21 times, and Camille was goalkeeper 8 times. Their teacher knows who scored the sixth goal. Who was it?