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Weekly Problem 38 - 2006

Stage: 2 and 3 Challenge Level: Challenge Level:1


If I pay the exact fare, the smallest number of coins I could use is 4 (2 x 20p and 2 x 2p). If I receive change, then it is not possible for only 2 coins to change hands since this would involve my giving the driver one coin (50p, £1 or £2) and receiving only one coin in change, but the necessary coin does not exist. However, if I give the driver a 50p coin and receive a 5p coin and a 1p coin in change, then only 3 coins change hands.

This problem is taken from the UKMT Mathematical Challenges.

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