Any Math Genius Out Here?

Lounge By Pootchi Updated 3 May 2007 , 12:37pm by adven68

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Pootchi Posted 26 Apr 2007 , 1:50pm
post #1 of 21

Ok I received this math problem in an email this week, I even sent my teenage son with this problem for his math teacher to solve... will know if he solves it tonight...
So here it goes:

3 guys need to rent a room together at a motel. The clerk tells them it's 30$. So they pay each 10$ and go to their room.
But the clerk realizes that the room was actually 25$. So she sends the busboy up with 5$ to give back to the guys. The busboy thought it would be hard to split 5$ between the 3 guys so he decides to give them 3$ back and keep 2$ for himself. So the guys ended up paying 9$ each for the room.
But if you make 9$ X3 = 27$
Who has the missing 1$ ?????


Anyone can solve this one?

20 replies
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Monica0271 Posted 26 Apr 2007 , 1:59pm
post #2 of 21
Quote:
Originally Posted by Pootchi

Ok I received this math problem in an email this week, I even sent my teenage son with this problem for his math teacher to solve... will know if he solves it tonight...
So here it goes:

3 guys need to rent a room together at a motel. The clerk tells them it's 30$. So they pay each 10$ and go to their room.
But the clerk realizes that the room was actually 25$. So she sends the busboy up with 5$ to give back to the guys. The busboy thought it would be hard to split 5$ between the 3 guys so he decides to give them 3$ back and keep 2$ for himself. So the guys ended up paying 9$ each for the room.
But if you make 9$ X3 = 27$
Who has the missing 1$ ?????


Anyone can solve this one?




icon_surprised.gif

I think I found your missing dollar. The roommates should have paid $8.33 for the room. Becaue $25 divided by 3=$8.333. I hope you get it because I do. --so $8.333x3=$24.999

I think that last part of the story is confusing to me.

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Pootchi Posted 26 Apr 2007 , 2:07pm
post #3 of 21

I know that part, but who got that missing dollar?
They paid 10$ at first, they received each a buck back 10 - 1= 9, so they paid 9$ each.
3 X 9 = 27$ right?

It was said in the email that was a problem in the test at the University

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Monica0271 Posted 26 Apr 2007 , 2:13pm
post #4 of 21

I have no idea where who got that dollar. I see what you are saying now.


You are going to have me thinking about this all day icon_cry.gif
Its going to drive me insain! icon_rolleyes.gif

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Pootchi Posted 26 Apr 2007 , 2:15pm
post #5 of 21
Quote:
Originally Posted by Monica0271


You are going to have me thinking about this all day icon_cry.gif
Its going to drive me insain! icon_rolleyes.gif





that's why I've sent my son with this problem to ask his teacher...
it gives me headaches just to think about this..... Even DH who's really really good in math can't seem to solve it....

Wanna share a bottle of Tylenol with me?? icon_lol.gif

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Monica0271 Posted 26 Apr 2007 , 2:21pm
post #6 of 21
Quote:
Originally Posted by Pootchi


Wanna share a bottle of Tylenol with me?? icon_lol.gif




icon_cry.gif Please icon_lol.gif

I am really starting to get a headache.

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shelbur10 Posted 26 Apr 2007 , 2:22pm
post #7 of 21

This is driving me nuts!! I googled "missing dollar riddle" and got some results, but my company blocked me from that page. If no one answers before then, I'll look at it when I get home tonight.

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twinsline7 Posted 26 Apr 2007 , 2:22pm
post #8 of 21

monica was almost there.....

there is no missing dollar.....

when you divide 25 by 3 you get 8.3333333
when you give 3 dollars back they each paid 9.3333333 when you multiply that times 3 ....you get 28 dollars....add that to the 2 dollars the busboy kept you have 30 dollars.....

icon_biggrin.gif I swore I wasnt gonna post til I figured it out!! my kids kept trying to take the calculator too!!! icon_confused.gificon_twisted.gif

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Monica0271 Posted 26 Apr 2007 , 2:25pm
post #9 of 21

icon_confused.gif I am still confused. icon_cry.gif

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Pootchi Posted 26 Apr 2007 , 2:28pm
post #10 of 21
Quote:
Originally Posted by twinsline7

monica was almost there.....

there is no missing dollar.....

when you divide 25 by 3 you get 8.3333333
when you give 3 dollars back they each paid 9.3333333 when you multiply that times 3 ....you get 28 dollars....add that to the 2 dollars the busboy kept you have 30 dollars.....

icon_biggrin.gif I swore I wasnt gonna post til I figured it out!! my kids kept trying to take the calculator too!!! icon_confused.gificon_twisted.gif




then the busboy should've give them back .6666666666$ each instead of 1$ ??????? icon_confused.gif I don't understand it......

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CupOfButter Posted 26 Apr 2007 , 2:29pm
post #11 of 21

Each Guy pd $10 ($30) - the room was actually $25, split evenly is $8.33 plus an extra $2 for the bellboy which divided by 3 is $.67 so they each paid for their share of the room 8.33 and the their share of the $2 extra = $.67. That equals $9.00 ea, plus the dollar given back to each is $10 each, so the answer to the question is that the extra dollar is in the original price of $25 bcuz they each paid 8 dollars and 33 and one third cents.

That probably doesn't make sense but its rite...hard to put into words!!!!

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twinsline7 Posted 26 Apr 2007 , 2:32pm
post #12 of 21
Quote:
Originally Posted by Pootchi


then the busboy should've give them back .6666666666$ each instead of 1$ ??????? icon_confused.gif I don't understand it......





when you work it out on a calculator this is how it works out...

25 dived by 3 = 8.3333333333333333

add a dollar = 9.33333333333333

multiply times 3 = 28

add the 2 dollars the busboy has...= 30

thats the calculated answer the other way to look at it is...


the room was 25 the busboy kept 2 = 27 add the 3 dollars he gave them back you have 30 icon_biggrin.gif

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Pootchi Posted 26 Apr 2007 , 2:33pm
post #13 of 21

ok, I think I understand now.....

I had to read it a few times but it comes clear in my head now.. You to do it backwards in sense. Not try to calculate from what was paid at first but how it costs really, and then go to what was paid at first... ok..... of course it makes sense

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Monica0271 Posted 26 Apr 2007 , 2:34pm
post #14 of 21
Quote:
Originally Posted by Pootchi

Quote:
Originally Posted by twinsline7

monica was almost there.....

there is no missing dollar.....

when you divide 25 by 3 you get 8.3333333
when you give 3 dollars back they each paid 9.3333333 when you multiply that times 3 ....you get 28 dollars....add that to the 2 dollars the busboy kept you have 30 dollars.....

icon_biggrin.gif I swore I wasnt gonna post til I figured it out!! my kids kept trying to take the calculator too!!! icon_confused.gificon_twisted.gif



then the busboy should've give them back .6666666666$ each instead of 1$ ??????? icon_confused.gif I don't understand it......




I googled it & found this. I understand this version:

The facts in this riddle are clear: There is an initial $30 charge. It should have been $25, so $5 must be returned and accounted for. $3 is given to the 3 friends, $2 is kept by the bellhop - there you have the $5. The trick to this riddle is that the addition and subtraction are done at the wrong times to misdirect your thinking - and quite successfully for most. Each of the 3 friends did indeed pay $9, not $10, and as far as the friends are concerned, they paid $27 for the night. But we know that the clerk will tell us that they were charged only $25 and when you add the $3 returned with the $2 kept by the bellhop, you come up with $30.


Dang thats confusing to me. But I somewhat understand it.

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Pootchi Posted 26 Apr 2007 , 2:35pm
post #15 of 21

the part with the guys paying 9$ each for the room, was to make us confused! it worked because I had a major headache....
now thanks I can stop thinking about it now that it's solve icon_lol.gif
Can you tell I'm better in language than math????

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Parable Posted 26 Apr 2007 , 2:43pm
post #16 of 21

I think it's easier to think of it this way.....The guys paid $30 ($10 each), then got $3 back ($1 each), therefore they actually paid in total $27 ($9 each). Then......the busboy took his cut ($2) reducing what the motel got which was $25 ($27 - $2).

There is no missing $1.00! Yippy!!!!!

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Monica0271 Posted 26 Apr 2007 , 2:54pm
post #17 of 21
Quote:
Originally Posted by Parable

I think it's easier to think of it this way.....The guys paid $30 ($10 each), then got $3 back ($1 each), therefore they actually paid in total $27 ($9 each). Then......the busboy took his cut ($2) reducing what the motel got which was $25 ($27 - $2).

There is no missing $1.00! Yippy!!!!!




icon_surprised.gif I totally understand that. Crystal clear. Thank you icon_wink.gif

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Parable Posted 26 Apr 2007 , 3:09pm
post #18 of 21
Quote:
Originally Posted by Monica0271

Quote:
Originally Posted by Parable

I think it's easier to think of it this way.....The guys paid $30 ($10 each), then got $3 back ($1 each), therefore they actually paid in total $27 ($9 each). Then......the busboy took his cut ($2) reducing what the motel got which was $25 ($27 - $2).

There is no missing $1.00! Yippy!!!!!



icon_surprised.gif I totally understand that. Crystal clear. Thank you icon_wink.gif




You are welcome!

I kinda have always liked math (logical) problems. The real problem comes when I am trying to explain my logic to my teenage daughter who looks (and thinks) in a totally different perspective from me. It is soooooooooo frustrating.

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cookingfor5 Posted 26 Apr 2007 , 10:46pm
post #19 of 21

This thread is too funny! And, it is exactly why I hated math and still do.

I'm going to tell DH this!

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VACakelady Posted 3 May 2007 , 10:21am
post #20 of 21

Quoted response from a puzzle site....

We have to be careful what we are adding together. Originally, they paid $30, they each received back $1, thus they now have only paid $27. Of this $27, $25 went to the manager for the room and $2 went to the bellboy.

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adven68 Posted 3 May 2007 , 12:37pm
post #21 of 21

WOW...this is a puzzle that I heard way back when...thanks for the memories icon_biggrin.gif

I am starting a new thread with another brain teaser...

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