Cheap Charlie likes to smoke cigars.
He cannot afford cigars so he puts five stubs (which he finds) together to make one full cigar.
One day Charlie was lucky to get 25 stubs.
How many cigars could he smoke?
For a bonus point; how many cigars could he have smoked if he had only found 20 stubs?
(In reply to Solution To Part II: First Section
by K Sengupta)
In this post, we will deal with an alternate solution to the bonus problem.
Charlie requests a close friend (say X), who is similarly poor, to lend him one cigar stub that X collected today.
Thus Charlie now has five stubs so that he can manufacture one additional cigar, over and above the 20/5 = 4 cigars made and smoked by him.
The Charlie smokes the additional cigar so manufactured, resulting in a stub, which he promptly returns to X, clearing off his debt.
Consequently, Charlie could have smoked 4+1 = 5 cigars.