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Counting Stamps (Posted on 2003-03-06) Difficulty: 2 of 5
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 ?

  Submitted by Ravi Raja    
Rating: 2.8182 (11 votes)
Solution: (Hide)
Let 'x' be the number of 2 Rupees stamps (obviously the number of 1 Rupee stamps is then equal to '6x') and 'y' be the number of 5 Rupee stamps.
Then from the problem, we have:
8x + 5y = 75
8x = 5(15 - y)
It is clear from the bove equation that 'x' is a multiple of 5 and the value of 'y' cannot be more than 14. Thus either x = 5 or x = 10, but x = 10 violates the condition of the problem by exceeding the total amount. Therefore, x = 5, giving y = 7.
Therefore, the required answer is:
The number of stamps of each type purchased by the man is: 5 Two-Rupee stamps, 30 One-Rupee stamps and 7 Five-Rupee stamps.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle ThoughtsK Sengupta2022-12-23 06:16:16
SolutionPuzzle SolutionK Sengupta2021-12-24 07:58:00
re: Totally unrelated , but interestingMath Man2011-07-10 11:51:19
SolutionStampsMath Man2011-07-10 11:48:43
Some ThoughtsStamp ThoughtsK Sengupta2008-03-15 11:04:48
re(4): Totally unrelated , but interestingBret2005-08-24 03:07:09
re(3): Totally unrelated , but interestingHugo2004-12-23 10:43:31
Some Thoughtsre(2): Totally unrelated , but interestingSyzygy2004-12-23 10:19:03
re: Totally unrelated , but interestingHugo2004-12-23 08:45:07
Some ThoughtsTotally unrelated , but interestingSyzygy2004-12-22 15:05:56
Solutionanother easy oneBilly Bob2004-03-28 10:57:00
SolutionSolutionLewis2003-07-06 04:49:14
SolutionThe easy wayGamer2003-07-03 05:56:27
re: postageErlys2003-03-11 17:43:32
Let's Try This Out For SizeMarc2003-03-09 08:16:21
No Subjectolga2003-03-08 12:26:43
No SubjectKyra Kelly2003-03-08 09:20:54
PostageAdam2003-03-08 05:31:40
re(2): postageRavi Raja2003-03-07 03:35:42
re: postageCharlie2003-03-06 03:54:22
SolutionpostageNick Murray2003-03-06 02:35:38
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