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20 passengers with coins of 2 and 5

Source: Tuymaada Junior 2005 p3

May 12, 2019

algebraDiophantine Equationssystem of equations

Problem Statement

Tram ticket costs

1

Tug (

=100

tugriks).

20

passengers have only coins in denominations of

2

and

5

tugriks, while the conductor has nothing at all. It turned out that all passengers were able to pay the fare and get change. What is the smallest total number of passengers that the tram could have?

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