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paying bills with coins of 1,2,5,10,20,50 size

Source: Croatia 2000 1st Grade P4

May 8, 2021

algebra

Problem Statement

We are given coins of

1,2,5,10,20,50

lipas and of

1

kuna (Croatian currency:

1

kuna =

100

lipas). Prove that if a bill of

M

lipas can be paid by

N

coins, then a bill of

N

kunas can be paid by M coins.

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