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wolfgang
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Fifty years ago,most of the smokers smoked (home made)cigarettes,all what they needed was tobacco and special paper.The paper was cheap while the tobacco was "expensive".

A poor had no money to buy both of them,so he was able to buy the papers only,and he collected (from the street)the (ends)left from cigarettes(there was no filters),he opened them and used their tobacco to make his own cigarettes,and smoke them.

1- suppose the amount of tobacco left in each( cigarette`s end )is fixed i.e. the same quantity,whoever smoked the cigarette.

2-suppose he can make one cigarette out of 5(ends).

3-suppose he can smoke all the cigarettes( he can make ) on the same day .

The question is:

howmany cigarettes can he smoke if he collected 77(ends) in one day?

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He can make 75/5=15 cigarettes (2 ends remain), use the ends of those to make 15/5=3 cigarettes, use ends + 2 to make another. He is left with one he can use the next day

;)

Total: 19 cigarettes

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