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MathNet 2002 — Part 01 Question 190

Math Olympiad Vault · MathNet 2002 — Part 01

Question 190

Three Butalians, Bingo, Bunko and Balko, robbed the bank and took away 22 bags of banknotes. They were lined up so that the first bag contained the least amount of money, and each subsequent bag contained one wad more than the one before it. Boss Bingo distributed the stolen bags of money according to the principle: the first to me (Bing), the second to you (Bunk), the third to me (Bing), the fourth to you (Balku), the fifth to me (Bing), the sixth to you (Bunk) ... Then they counted the money. Bunko and Balko realized that they had a fabulous sum of SIT 6,710,000. They were also happy about the fact that together they have SIT 110,000 more than their boss. Your task is to find out how much money was in the first bag. Write down the answer.