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Just A Math Problem  
User currently offlineRufruf From Canada, joined Oct 2006, 42 posts, RR: 0
Posted (8 years 1 month 2 weeks 22 hours ago) and read 2768 times:

Three people get a motel room. Each is charged $10.00 ( 3 x 10 = $30.00 )

The desk clerk figures he has over charged them by $5.00 and tells them so.

They decide that the 3 people will be refunded a $1.00 each and the clerk will

keep the other $2.00 ( 3+2 = 5 ). So each person actually only paid $9.00

instead of the $10.00. Right ? 3 x $ 9.00 = $ 27.00 and the $2.00 the clerk

kept =$29.00.... Suddenly a Dollar go's missing.



Go Figure

30 replies: All unread, showing first 25:
 
User currently offlineKlaus From Germany, joined Jul 2001, 21521 posts, RR: 53
Reply 1, posted (8 years 1 month 2 weeks 21 hours ago) and read 2752 times:

The proper sum would have been 30 - 5 = 27 - 2 = 25. Nothing is missing.

User currently offlineRichardPrice From , joined Dec 1969, posts, RR:
Reply 2, posted (8 years 1 month 2 weeks 21 hours ago) and read 2748 times:

The extra dollar never existed.

The original amount is $30.
The room is $25.
The 'pocketed amount' is $2.
The refunded amount is $3.

$9 x 3 = $27

The amount the Clerk pockets is within the $9 paid, the $3 given back makes the total up to $30, the $2 is deducted from the $27 not added to make the $25 room cost.


User currently offlineGo3Team From United States of America, joined Mar 2004, 3267 posts, RR: 16
Reply 3, posted (8 years 1 month 2 weeks 21 hours ago) and read 2740 times:

Must be the new math they are teaching in schools these days.


Yay Pudding!
User currently offlineRufruf From Canada, joined Oct 2006, 42 posts, RR: 0
Reply 4, posted (8 years 1 month 2 weeks 21 hours ago) and read 2727 times:

I still only paid $9.00 . as the other two people did . I started with $10.00 and I got a dollar back. I'm happy only pay in $9.00 .

Try it around a table and use tooth picks , or matches , or stir sticks.

count them as you pass them back and forth.

It's all in interpretation. Logic ? maybe. numbers don't lie ............ right


User currently offlineRichardPrice From , joined Dec 1969, posts, RR:
Reply 5, posted (8 years 1 month 2 weeks 20 hours ago) and read 2709 times:

Quoting Rufruf (Reply 4):

It's all in interpretation. Logic ? maybe. numbers don't lie ............ right

Actually, in the puzzle given in your original post, numbers do lie.

You say that the three people get $1 each back, and the motel clerk pockets $2.

Then you say that $10 - $1 = $9. Thats reasonable enough.

However, in that $9 is a cut of the $2 the Clerk keeps, so to add it on later ($27 + $2 = $29) is wrong because its already counted in the running total. What should be added on is the three $1 refunds, which takes the total up to $30 as expected.

Nothings missing, the puzzle as given is basically incorrect on purpose in order to provide the problem stated.

The real question is - what are three people doing with a motel room together? Why havent I been invited?

[Edited 2006-11-12 18:10:50]

User currently offlineSv2008 From United Kingdom, joined Aug 2006, 622 posts, RR: 0
Reply 6, posted (8 years 1 month 2 weeks 20 hours ago) and read 2709 times:

It's a trick with the wording.

Richard pretty much explaind it, but to add to it, the three really paid £0.66 each I think of the new amount to contribute to the extra them gave away.


User currently offlineTZ757300 From United States of America, joined Aug 2005, 2877 posts, RR: 6
Reply 7, posted (8 years 1 month 2 weeks 19 hours ago) and read 2668 times:

thats almost as bad as this




LETS GO MOUNTAINEERS!
User currently offlineSv2008 From United Kingdom, joined Aug 2006, 622 posts, RR: 0
Reply 8, posted (8 years 1 month 2 weeks 18 hours ago) and read 2636 times:

http://en.wikipedia.org/wiki/0.99

User currently offlineCastleIsland From , joined Dec 1969, posts, RR:
Reply 9, posted (8 years 1 month 2 weeks 18 hours ago) and read 2623 times:

All I can say is that this sounds like an "hourly rate" at a sleazy motel in a bad part of town.  Wink

User currently offlineFutureSDPDcop From United States of America, joined Feb 2006, 1293 posts, RR: 5
Reply 10, posted (8 years 1 month 2 weeks 12 hours ago) and read 2550 times:

Quoting CastleIsland (Reply 9):
All I can say is that this sounds like an "hourly rate" at a sleazy motel in a bad part of town.

Is this first hand knowledge or....?


User currently offlineShinkai From , joined Dec 1969, posts, RR:
Reply 11, posted (8 years 1 month 2 weeks 11 hours ago) and read 2531 times:

BLEH! what an easy question!

how about you figure this one out:

f(x) = 3cos3x
f'(x) = ???
f''(x) = ???
f'''(x) = ???

now find the mclaurin series of f(x) up to x^3!!!


User currently offlineCastleIsland From , joined Dec 1969, posts, RR:
Reply 12, posted (8 years 1 month 2 weeks 11 hours ago) and read 2528 times:

Quoting FutureSDPDcop (Reply 10):
Is this first hand knowledge or....?

That depends on what city we're talkin' 'bout. tongue 


User currently offlineDan2002 From United States of America, joined Dec 2002, 2055 posts, RR: 5
Reply 13, posted (8 years 1 month 2 weeks 11 hours ago) and read 2520 times:

We spent a whole period in economics talking about this problem...


A guy asks 'What's Punk?'. I kick over a trash can and its punk. He knocks over a trash can and its trendy.
User currently offlineIamcanadian From Canada, joined May 2001, 734 posts, RR: 1
Reply 14, posted (8 years 1 month 2 weeks 9 hours ago) and read 2491 times:

Quoting Shinkai (Reply 11):
f(x) = 3cos3x
f'(x) = ???
f''(x) = ???
f'''(x) = ???

f'(x) = -9sin(3x)
f''(x) = -27cos(3x)
f'''(x) = 81sin(3x)

Quoting Shinkai (Reply 11):
now find the mclaurin series of f(x) up to x^3

What is a Mclaurin series?  confused 



Shut up and calculate.
User currently offlineRichPhitzwell From , joined Dec 1969, posts, RR:
Reply 15, posted (8 years 1 month 2 weeks 9 hours ago) and read 2484 times:

Quoting Dan2002 (Reply 13):
We spent a whole period in economics talking about this problem...

Are you serious? A simple division vs multiplication problem?


Here is one for ya what is a 30% markup of $100

$130

or

$142.85

Warning, becomming drunker by the sip.

[Edited 2006-11-13 05:37:38]

User currently offlineRufruf From Canada, joined Oct 2006, 42 posts, RR: 0
Reply 16, posted (8 years 1 month 1 week 4 days 6 hours ago) and read 2388 times:

Hell I was just bringing up a point . Jessss Sorry I brought it up.

Never mind

But three investors invest 3 million dollars ...and the accountant takes 2 million.. and the ......


User currently offlineKay From France, joined Mar 2002, 1884 posts, RR: 3
Reply 17, posted (8 years 1 month 1 week 3 days 23 hours ago) and read 2388 times:

30% markup of $100 is 130 because the markup is of 100.

But if you say that "sales have fallen 30% this year, to 100", then it means that last year the sales were 142.85.

Easy.. as well the initial problem, which was a trap for really "unmathematical" people only  Smile

Kay


User currently offlineDocPepz From Singapore, joined May 2001, 1971 posts, RR: 3
Reply 18, posted (8 years 1 month 1 week 3 days 23 hours ago) and read 2388 times:

f'(x) = -9sin(3x)
f''(x) = -27cos(3x)
f'''(x) = 81sin(3x)

http://mathworld.wolfram.com/MaclaurinSeries.html

That's what the Maclaurin Series is. So since we have

f(x) = 3cos(3x)
f'(x) = -9sin(3x)
f''(x) = -27cos(3x)
f'''(x) = 81sin(3x)

The Maclaurin series is till x^3 is as follows:

3 - 15.5x^2

The coefficient of x^3 is zero since sin 0 = 0 thus the answer stops there.

Pretty simple if you ask me, it's just substituting values into equations. Requires no brains!

Now Shinkai here is a question for you. You took SIA from Singapore to Perth in 2001. When you changed planes in Singapore to catch the flights to Perth, You thought you were in:

1)Asia
2)Europe
3)Mars
4)A Hotel Room with 3 Men


User currently offlineVikkyvik From United States of America, joined Jul 2003, 10349 posts, RR: 26
Reply 19, posted (8 years 1 month 1 week 3 days 23 hours ago) and read 2388 times:

Quoting DocPepz (Reply 18):
Now Shinkai here is a question for you. You took SIA from Singapore to Perth in 2001. When you changed planes in Singapore to catch the flights to Perth, You thought you were in:

1)Asia
2)Europe
3)Mars
4)A Hotel Room with 3 Men

 rotfl 

Priceless!

But remember, Stephen Hawking doesn't do geography (geology).



How can I be an admiral without my cap??!
User currently offlineDocPepz From Singapore, joined May 2001, 1971 posts, RR: 3
Reply 20, posted (8 years 1 month 1 week 3 days 23 hours ago) and read 2388 times:

My bad, the answer should be 3 - 13.5x^2. Not 15.5 as I said above. I did my A Levels in 2000 which was the last time I touched Maclaurin's series. Thankfully I still remember calculus though I've clearly forgotten how to do simple division. 27/2 is indeed 13.5 and not 15.5.

User currently offlineLinco22 From United Kingdom, joined Jun 2005, 1380 posts, RR: 15
Reply 21, posted (8 years 1 month 1 week 3 days 23 hours ago) and read 2388 times:

Its simple. Skidmarks was the clerk and tried to rip them off.

Its pathetic.


User currently offlineJRadier From Netherlands, joined Sep 2004, 4725 posts, RR: 50
Reply 22, posted (8 years 1 month 1 week 3 days 22 hours ago) and read 2388 times:

Quoting Rufruf (Reply 4):
numbers don't lie ............ right

wich is why there are lies, damn lies and statistics



For once you have tasted flight you will walk the earth with your eyes turned skywards, for there you have been and ther
User currently offlineRufruf From Canada, joined Oct 2006, 42 posts, RR: 0
Reply 23, posted (8 years 1 month 1 week 1 day 6 hours ago) and read 2016 times:

What a lot of fun !!!

Gotta love the fraction answers.

The answer is ?

Did you all have a good sleep in what ever motel you were in ?

I actually have a life .


New one ..

Which planet takes longer to circle the sun then it's day .


User currently offlineShinkai From , joined Dec 1969, posts, RR:
Reply 24, posted (8 years 1 month 1 week 1 day 4 hours ago) and read 1996 times:

Quoting DocPepz (Reply 18):
Now Shinkai here is a question for you. You took SIA from Singapore to Perth in 2001. When you changed planes in Singapore to catch the flights to Perth, You thought you were in:

1)Asia
2)Europe
3)Mars
4)A Hotel Room with 3 Men

i choose 1.

see you in Singapore Changi Airport this december!


25 RichardPrice : If you actually mean what you wrote literally then nearly all the planets have a year longer than their own day - only Venus has a day longer than it
26 Rufruf : Actually the answer is Mercury. Mercury takes 88 days to revolve around the sun . It's rotation ( as it spins on it's axis takes something like 288 da
27 RichPhitzwell : It is very simple...but you can mark up both ways to come to two different profit levels and still claim to be a 30% markup. As a PM at one company w
28 Kalakaua : Okay... LAPLACE, anyone?! This is so fun! Find L{f(t)} if f"(t) + 3f'(t) - 8f'(t)=0, f(0)=1 and f'(0)=2 * L{f'(t)} =sL{f(t)} - f(0) Theorem: L{y'(t)}
29 Rufruf : To last post When dos a equation have a ( if ) in it ? At least in chemeistry both sides are equal ( = )
30 SpinalTap : An answer: f(t) = exp(-1.5*t)*[cosh(sqrt(10.25)*t) + 3.5/sqrt(10.25)*sinh(sqrt(10.25)*t)] y = 2*exp(5*t) + 4*exp(3*t)
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