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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 ?

See The Solution Submitted by Ravi Raja    
Rating: 2.8182 (11 votes)

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Solution Stamps | Comment 18 of 19 |
x=number of 2 rupee stamps
6x=number of 1 rupee stamps
y=number of 5 rupee stamps
2x+6x+5y=75
8x+5y=75
8x must be divisible by 5, so x is divisible by 5. If x=10, then 8x=80, which is greater than 75. Therefore, x=5. Also, 6x=30, so there are 30 1 rupee stamps.
40+5y=75
5y=35
y=7
5 2 rupee stamps
30 1 rupee stamps
7 5 rupee stamps


  Posted by Math Man on 2011-07-10 11:48:43
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