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AMO 2027 Grades 4-5 SET 19 - Self-study Question 8

AMO · AMO 2027 Grades 4-5 SET 19 - Self-study

Question 8

Mary and Jane played a game of chess everyday over a period of time. Whoever lost a game had to give the winner a piece of chocolate. In the end, though Jane won 14 games, she had to give 11 pieces of chocolates to Mary. How many games did Mary and Jane play in total?

Practice convention: no games were drawn. The 11 chocolates are Jane’s net payment to Mary after cancelling chocolates won against chocolates lost.