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corrent and incorrect answers

Source: II May Olympiad (Olimpiada de Mayo) 1996 L1 P5

September 17, 2022
algebra

Problem Statement

In an electronic game of questions and answers, for each correct answer the player adds 55 points on the screen, for each incorrect answer 22 points are subtracted and when the player does not answer, no score is added or subtracted. Each game has 3030 questions. Francisco played 55 games and in all of them he obtained the same number of points, greater than zero, but the number of correct answers, errors and unanswered questions in each game was different. Give all the possible scores that Francisco could obtain.