Making change In a certain country, there are three kinds of coins: Making chang

Question

Making change

In a certain country, there are three kinds of coins:

Making change (a) In a certain country, there are three kinds of coins: 6, 22, and 33 coins. Assume that vendors and customers always have an unlimited supply of all these coins. Are there any prices that a customer cannot pay exactly if the vendor gives change? Explain. (b) Same situation, but the government has stopped producing and reclaimed all 6 coins. Now are there any prices that a customer cannot pay exactly (vendors still giving change)? Explain.

Explanation / Answer

Solution: - 6¢, 22¢, 33¢

Prices which cannot be paid exactly are [1, 2, 3, 4, 5,7,8,9,10,11,13,14,15,16,17,19,20,21,23, 25,26,27,29,31,32, 35, 37……97]

Hence there many prices which cannot be paid exactly

Part2:- When 6¢ coin is stopped by the government this number increases

[1, 2, 3, 4, 5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23, 24,25,26,27,28,29,30,31,32, 34,35, 37……100]

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