Three men go to a hotel and ask how much for a room. Manager says $30. Each man pays $10. After awhile the manager decides he charged to much. He then gives the bellhop $5 and says to give it back to the men. On the way to the room, the bellhop decides to keep $2. He then gives each man $1 back. That makes each man paying $9. Three times 9 equals 27 that the men paid. 2 that the bellhop kept plus 27 that the men paid adds up to 29. Where is the other dollar?
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Originally posted by lionelIf you write it down there is no missing dollar, there can not be.
Three men go to a hotel and ask how much for a room. Manager says $30. Each man pays $10. After awhile the manager decides he charged to much. He then gives the bellhop $5 and says to give it back to the men. On the way to the room, the bellhop decides to keep $2. He then gives each man $1 back. That makes each man paying $9. Three times 9 equals 27 that the ...[text shortened]... aid. 2 that the bellhop kept plus 27 that the men paid adds up to 29. Where is the other dollar?
25+3 is 28, bell boy gets 2 =30
25 does not divide down by 3, i think that is where the issue is - you need to add on to 25 not take off 30?
Andrew
Agreed. The problem with the equation is that the end question multiplies instead of using addition/subtraction. Because the bell boy took the 2 off from the 30 the multilples hold a different percentile value for each guest versus the initial sum. The numerical values are sensitive to the sequence of events, and thusly the end questions use of multiplication is faulty.
Originally posted by OmnislashOmnislash
Agreed. The problem with the equation is that the end question multiplies instead of using addition/subtraction. Because the bell boy took the 2 off from the 30 the multilples hold a different percentile value for each guest versus the initial sum. The numerical values are sensitive to the sequence of events, and thusly the end questions use of multiplication is faulty.
Have you ever come across the Plain English Campaign?
Here's a link to the website...
www.plainenglish.co.uk
...please take a few moments to read some of the advice given on the website.
Ta
Tim
Originally posted by lionelThe three men are each down $9. The manager is up $25. The bellhop is up $2. No problem.
Three men go to a hotel and ask how much for a room. Manager says $30. Each man pays $10. After awhile the manager decides he charged to much. He then gives the bellhop $5 and says to give it back to the men. On the way to the room, the bell ...[text shortened]... lus 27 that the men paid adds up to 29. Where is the other dollar?
If you want to know where the $30 are, there is no single 'other dollar'. Instead the men got a $3 refund, which you've ignored, and you've double-counted the bellhop's $2 (once as part of the payment, once as what the bellhop keeps). Through these two errors in the arithmetic you arrive at a spurious 'missing dollar'.
I know Omnislash got here first but I think I've explained it better. 😛 I don't know what Omnislash means by the money being sensitive to the sequence of events though... 😕
PS Ignore this. Latex bishop got there before both of us and gave a perfectly good explanation.
Originally posted by lionelYou are misleADIONG YOUR audience - don't add the two dollars bus subtract it, then you have 25 + 2 or 27 - 2, which comes out equal. See ?
Three men go to a hotel and ask how much for a room. Manager says $30. Each man pays $10. After awhile the manager decides he charged to much. He then gives the bellhop $5 and says to give it back to the men. On the way to the room, the bellhop decides to keep $2. He then gives each man $1 back. That makes each man paying $9. Three times 9 equals 27 that the ...[text shortened]... aid. 2 that the bellhop kept plus 27 that the men paid adds up to 29. Where is the other dollar?