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Article #11482Re: THE MISSING DOLLAR!
From: Fred Kochman
Date: Thu, 30 Nov 1995 00:00
Date: Thu, 30 Nov 1995 00:00
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2270 bytes
In article <49ka9b$6ij@metro.ucc.su.OZ.AU> Andrew Laming <alaming@extro.ucc.su.oz.au> writes: This problem is driving me crazy. If you can solve and explain it to me I would be very grateful. Three men walk into a store and buy a $30 radio. They each put in $10, making $30. The shopkeeper later realises that the radio was on sale for $25. The shopkeeper is a crook and instead of dividing the $5 between the three men he pockets $2 and gives each man $1 back. So in fact each of the three men paid $9 each which makes $27 and the shopkeeper keeps $2. Now $27 + $2 = $29. What happened to the extra dollar? I have no problem understanding that the radio actually cost $25 so each man paid 25 � 3 = $8 1/3 dollars. Now, $8 1/3 * 3 = $25. Plus $3 back is $28, plus the $2 the shopkeeper kept makes $30. I don't understand where the error is in saying that each man paid $9 and the shopkeeper kept $2 which makes $29. There is obviously an error but I can't see it. If you can explain it to me I would be eternally grateful as it is driving me crazy. Thanks, Andy. Andy, the three men paid $30 and then got $3 back, so they actually paid only $27. But if you then add the $2 kept by the shopkeeper, bringing the total up to $29, you are counting those $2 _twice_, as they were already included in the $30 which the shopkeeper was given in the first place. Giving the shopkeeper $30 was a transfer of money. Giving back $3 was a transfer of money. But for the shopkeeper to retain $2 which he already has and put it in his pocket, is not a transfer of money. So it doesn't make sense to add the $2 to the $27, as if it were an additional sum remitted to the shopkeeper.
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X-Google-Language: ENGLISH,ASCII X-Google-Thread: 10d67e,ecc650bec99919af X-Google-Attributes: gid10d67e,public From: kochman@harder.ccr-p.ida.org (Fred Kochman) Subject: Re: THE MISSING DOLLAR! Date: 1995/11/30 Message-ID: <KOCHMAN.95Nov30161926@harder.ccr-p.ida.org> X-Deja-AN: 120576866 distribution: inet references: <49ka9b$6ij@metro.ucc.su.OZ.AU> organization: IDA Center for Communications Research newsgroups: aus.mathematics