the cigarette smoker

a man can roll a new cigarette from 7 cigarette ends . on a particular day he managed to collect 290 cigarette ends how many cigarettes will he manage to smoke in total.if there can be a few butts left


The answer is 48.

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1 solution

290=7(41)+3. 41+3=44. 44=7(6)+2. 6+2=8. 8=7(1)+1. So after smoking (41+6+1) or 48 cigarettes, only 2 buds will be left, with which no more cigarette can be made.

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