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IMSO 2006 Mathematics — Taiwan Selection Second Round Essay Question 1

IMSO Maths · IMSO 2006 Mathematics — Taiwan Selection Second Round Essay

Question 1

**General instructions.** Answer the following 10 questions, and show your detailed solution in the space provided after each question. Each question is worth 4 points. Time limit: 60 minutes.

John challenged Tom on to a general knowledge contest. For every answer Tom got right, John gave him 7 dollars and for every answer Tom got wrong, he had to give John 3 dollars. John asked 50 questions and at the end of the competition, when everything was added up, neither owned the other any money! How many questions did Tom answer correctly?