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Gnasch

Joined: 19 Feb 2005
Posts: 166
Location: Detroit

PostPosted: Wed Jul 20, 2005 7:05 am    Post subject: Brain Strain Reply with quote
You may have heard this before, I used to give this as extra credit to my 1st year math students on thier mid terms.

Three men stop at a motel for the night. They approach the clerk who tells them that the room is Thirty Dollars, so they each give Ten Dollars to him and proceed on thier way.

Later the manager comes in and reminds the clerk that the rooms are on special for Twentyfive Dollars. The clerk sends the bellboy to the room with Five singles.

The bellboy tells the men that the room was only Twentyfive Dollars, since there is no good way to split that up, they gave the bell boy a Two Dollar tip and kept a Dollar each for themselves.

Now. If each man got back a dollar, this means that the room cost each of them Nine Dollars.

3 X 9 = 27

The bell boy got a two dollar tip

27 + 2 = 29

So, who got the other dollar?


The Clerk? The Manager? The Bellboy??????
Show all work....

Paul
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Renvik
Site Admin

Joined: 22 Jun 2004
Posts: 493

PostPosted: Wed Jul 20, 2005 8:44 am    Post subject: Reply with quote
This puzzle alone has killed many of my brain cells from hours of figuring out what is going on.

<spoiler>
The misdirection is that the equation in the riddle is adding when it should be subtracting, trying to lead you to the incorect $30 total. Each of the men paid $9 so you have $27 total. The room cost $25 and they gave the bell-hop a $2 tip. (3x9)-2=27-2=$25 (room cost).

Each of the men paid $10
$30

Each of them received $1 back
$27

They tip the bell hop $2
$25

The main problem is, if you want to reach the $30 total you have to multiply $9 by 3 and then add the $1 refund each of them got back, not the bell-hop's tip.
</spoiler>
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Tanadil

Joined: 23 Jun 2004
Posts: 445

PostPosted: Wed Jul 20, 2005 9:17 am    Post subject: Reply with quote
RENVIK! YOUR MY HERO!
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Larinika

Joined: 23 Jun 2004
Posts: 206
Location: Texas

PostPosted: Wed Jul 20, 2005 10:03 pm    Post subject: Reply with quote
oh geez, thats a much harder version of the thing my Grandpa used to do to me as a kid. he used to ask me "how many fingers do you have on your hands?"

of course i would answer "10". He would say "Wrong..." and count the right hand fingers "1,2,3,4,5" and the left hand fingers "10,9,8,7,6" what is 5 plus 6? 11 !!!!!!

he was also the grandpa who told me he would give me $20.00 if I could spoon food into my mouth, using only the silverware I was holding in that hand INTO my mouth without bending my elbow at all. I think that is still why, to this day, my neck has a crick in it.
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Gnasch

Joined: 19 Feb 2005
Posts: 166
Location: Detroit

PostPosted: Thu Jul 21, 2005 5:54 am    Post subject: Up in smoke Reply with quote
There is this man, rather down on his luck, homeless. He likes to smoke however and has worked out a bit of a formula to satisfy his habit every day. These are the things that you should know about this man.

1. Never throws a cigarette away.
2. He can make one cigarette out of two ciggarette buts.
3. He gets up every morning and bums 20 whole cigarettes before lunch then sits down and smokes.

Question: How many whole cigarettes does he smoke in a day?

Paul
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Buchalter

Joined: 23 Jun 2004
Posts: 257

PostPosted: Thu Jul 21, 2005 9:45 am    Post subject: Re: Up in smoke Reply with quote
Gnasch wrote:
There is this man, rather down on his luck, homeless. He likes to smoke however and has worked out a bit of a formula to satisfy his habit every day. These are the things that you should know about this man.

1. Never throws a cigarette away.
2. He can make one cigarette out of two ciggarette buts.
3. He gets up every morning and bums 20 whole cigarettes before lunch then sits down and smokes.

Question: How many whole cigarettes does he smoke in a day?

Paul


If he starts with the 20 cigs he bums and smokes them down to butts he has 20 butts. Now he can use those 20 butts to make 10 more cigs. He smokes those down (total 30 smokes) and now he has 10 butts. He can use those to make 5 cigs. He smokes those down (total 35) and now he has 5 butts. He can make 2 more cigs and have one butt leftover. He makes and smokes those two cigs (37 total) and now has 3 butts. He makes one more cig and has one spare butt. He smokes that cig (38 total) and now has 2 butts. He uses them to make one last cig and he smokes it. (39) Now he has no butts, no cigs, and has not thrown anything away.

So he smokes 39 Cigs a day.
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Buchalter

Joined: 23 Jun 2004
Posts: 257

PostPosted: Thu Jul 21, 2005 10:50 am    Post subject: Re: Up in smoke Reply with quote
Buchalter wrote:
Gnasch wrote:
There is this man, rather down on his luck, homeless. He likes to smoke however and has worked out a bit of a formula to satisfy his habit every day. These are the things that you should know about this man.

1. Never throws a cigarette away.
2. He can make one cigarette out of two ciggarette buts.
3. He gets up every morning and bums 20 whole cigarettes before lunch then sits down and smokes.

Question: How many whole cigarettes does he smoke in a day?

Paul


If he starts with the 20 cigs he bums and smokes them down to butts he has 20 butts. Now he can use those 20 butts to make 10 more cigs. He smokes those down (total 30 smokes) and now he has 10 butts. He can use those to make 5 cigs. He smokes those down (total 35) and now he has 5 butts. He can make 2 more cigs and have one butt leftover. He makes and smokes those two cigs (37 total) and now has 3 butts. He makes one more cig and has one spare butt. He smokes that cig (38 total) and now has 2 butts. He uses them to make one last cig and he smokes it. (39) Now he has no butts, no cigs, and has not thrown anything away.

So he smokes 39 Cigs a day.


Actually, I got to thinking about this... my answer is somewhat false. When the guy smokes his 39th and final cig of the day, he's still left with one butt. I have no idea what he does with that. The question says he doesn't thorw away any "cigarettes", so maybe he throws away the last butt, I don't know.

Or maybe he carries it over to the next day, in which case every day after the first he could smoke one additional cigarette (by using his last 39th butt from the day plus the leftover butt from the day before) for a total of 40 cigs per day. But you have to make an assumption there that the question doesn't address.

Or maybe I'm totally off the mark and none of this is right! Confused
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Gnasch

Joined: 19 Feb 2005
Posts: 166
Location: Detroit

PostPosted: Thu Jul 21, 2005 5:07 pm    Post subject: Reply with quote
He never throws a Cigarette away, that includes butts, if he has been doing it for a while, he will have one butt left over from the previous day, and the math works out so that he combines that one leftover butt with the last of his Bummed cigarettes for the day and has one butt left over for the next day.
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Buchalter

Joined: 23 Jun 2004
Posts: 257

PostPosted: Fri Jul 22, 2005 11:52 am    Post subject: Reply with quote
Ok - then the answer is that he smokes 40 cigarettes a day.
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