My friend Charles works in a post office and he sells stamps. One day a man walked in and slamming seventy five rupees on the counter requested,

"Please give me some 2 rupees stamps, six times as many one rupee stamps, and for the rest of the amount make up some 5 rupee stamps."

Charles thought for a few moments and finally she handed over the exact fulfilment of the order to the man.

How did he do it and how many stamps of each type did he give to the man ?

The way to think about this is the amount of money spent by the 2 rupee stamps and the 1 rupee stamps must be a multiple of 5 (so the rest of the money can be used for 5 rupee stamps).

Then, the amount of money spent must be a multiple of 8 (2+(6x1))

The only mutliple of 5 and 8 under 75 is 40.

40/8 is 5, so he got 5 2-rupee stamps, 6x5 or 30 1-rupee stamps and (75-40)/5 or 7 5-rupee stamps

Posted by Gamer on 2003-07-03 05:56:27