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In a day of foraging, a tramp collects 274 cigarette ends.

He knows that for every 5 cigarette ends he can make a new cigarette.

How many cigarettes can the tramp make and then actually smoke?

[Ref: ZZPA] © Kevin Stone

68.

From the initial 274 he can smoke 54 with 4 remaining. From these 58 stubs he can smoke 11 with 3 remaining. From these 14 he can smoke 2 with 4 remaining. From these 6 he can smoke 1 with 1 remaining. Therefore he can smoke 54 + 11 + 2 + 1 = 68.

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