In my country i decided to develop my own currency. Long tired of the decimal system, i decided to arbitrarily make a new currency system. From now on 121 coins make 1 Bmad bill. $121 one BMAD bills makes a hundred and so on. Also, i decided that All numbers within each system must be reached by no more than five bills/coins. In other words. If i want 119 cents, then five coins or less must be enough to reach that amount. If i want 120 cents, then i would use at most five coins too but it does not have to be the same five coins that made 119. So to reach any price amount under a hundred, i would need at most five bills and five coins.
Three questions:
1. What is the fewest number of coins needed to make the above true? What would be their values?
2. How many one BMAD bills are needed to make a million?
In my country i decided to develop my own currency. Long tired of the decimal system, i decided to arbitrarily make a new currency system. From now on 121 coins make 1 Bmad bill. $121 one BMAD bills makes a hundred and so on. Also, i decided that All numbers within each system must be reached by no more than five bills/coins. In other words. If i want 119 cents, then five coins or less must be enough to reach that amount. If i want 120 cents, then i would use at most five coins too but it does not have to be the same five coins that made 119. So to reach any price amount under a hundred, i would need at most five bills and five coins.
Three questions:
1. What is the fewest number of coins needed to make the above true? What would be their values?
2. How many one BMAD bills are needed to make a million?
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