Missing $

Julia · Post by **Julia** » Thu Jul 10, 2003 5:43 pm

Back in 1971, these three people go to a hotel and to share a room. The manager tells them the room is $30, so they each give him $10. When they get to their hotel room, the manager drops by to explain that a special $25 rate is in place, and returns $5 in ones to them. They each take a dollar, and give back the remaining $2 to the manager for his honesty.
Now, if each of the three people paid $10 and got $1 back, they paid $9 a piece, or a total of $27 (3 Ã— 9). The manager gets $2, so that adds up to $29.

Where is the other dollar?

stephen T · Post by **stephen T** » Thu Jul 10, 2003 6:13 pm

because they dont pay $9.

they pay 8.33 recurring(sp)

this adds up to 25 quid. they then get $1 back each so they actually paid 28 quid. and the manager has the other 2. that right?

TheMinel · Post by **TheMinel** » Fri Jul 11, 2003 10:46 am

you can tell steve is in uni....

Duncan · Post by **Duncan** » Fri Jul 11, 2003 11:13 am

they do pay $9 each but that includes the $2 dollars given to the manager.

each pay $10

each get $1 back

so each pay $9

or another way ( all figures to 2 decimal places only)

Each first pay $10

special price so each get $1.67 back (one third of $5)

so each pay $8.33 ($10-&1.67)

but decide to give back $0.67 (one third of $2)

so each now have paid $9 ($8.33 + $0.67)

so the total paid out was $27 so where's the missing $3?

Duncan · Post by **Duncan** » Fri Jul 11, 2003 11:14 am

you can tell steve is in uni....

Greenday · Post by **Greenday** » Fri Jul 11, 2003 11:09 pm

I think they pay 9.333333333 each instead on $9 so that makes $28 and the manager gets the other $2 to make it $30,
Don't know why i think that but hey it seems to work

Duncan · Post by **Duncan** » Sat Jul 12, 2003 12:29 am

sorry no i was right

if i give you Â£10 and you give me Â£1 back you have Â£9

if 2 other people give you Â£10 and you give back Â£1 to each of them you have Â£27 (i.e. 3 x (10-1))

but you dont want just to give back Â£3 you want to give a total of Â£5 so you give a further Â£2 to be share between the three of us .........but we say you can keep and give you the Â£2 back... so you still have Â£27

...does that help?

tiranova · Post by **tiranova** » Sat Jul 12, 2003 1:25 am

sorry no i was right

if i give you Â£10 and you give me Â£1 back you have Â£9

if 2 other people give you Â£10 and you give back Â£1 to each of them you have Â£27 (i.e. 3 x (10-1))

but you dont want just to give back Â£3 you want to give a total of Â£5 so you give a further Â£2 to be share between the three of us .........but we say you can keep and give you the Â£2 back... so you still have Â£27

...does that help?

Yep as clear as MUD!

Duncan · Post by **Duncan** » Sat Jul 12, 2003 8:21 am

well I though my first post was clearer but a least one person seemed not to get it

the reason there seems to be a pound missing is cos the wrong sum is be carried out

the fact that the hotel manager give back $5 but is rewarded with a $2 tip is ment to confuse. He effectively hands back $3 (5-2)

So if you said the three people paid $30 but were given back $3 it would be clear that the three people had paid $27 (30-3) ie $9 each

I a boring any one yet because I can go on?

Greenday · Post by **Greenday** » Sun Jul 13, 2003 8:59 am

I'm just completely lost as everyone seems to have a different answer??????????

Mr_AWOL · Post by **Mr_AWOL** » Sun Jul 13, 2003 10:27 am

Well duncan is right Greenday:

They have paid $25 for the room
$2 as a tip
$3 they still have
25 + 2 + 3 = 30 so no missing dollars

Greenday · Post by **Greenday** » Sun Jul 13, 2003 10:07 pm

Yeah i'd worked that much out, i'm just confused with the workings out of (9X3)+2=29 when it should add up to 30, but hey i'll just have to live with my confusion

Mr_AWOL · Post by **Mr_AWOL** » Mon Jul 14, 2003 9:07 pm

no greenday

they each paid out $9 (9 x 3 = 27)

$25 went in the till
$2 Went in the blokes pocket

25 + 2 = 27

Greenday · Post by **Greenday** » Mon Jul 14, 2003 11:48 pm

so why does 9X3 (the guests money) plus the 2 for the manager only add up to 29?????? I thought that was the whole point????????

stephen T · Post by **stephen T** » Mon Jul 14, 2003 11:51 pm

get 30 pennies and test it