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2015-07-23 23:03:38
5 votes, rating 2.6
5 votes, rating 2.6
Missing Dollar
So I found this somewhere, and I can't wrap my head around it.
.....
Three friends enter a hotel, and each pay 10 dollar for a shared 30 dollar room.
They go to their room, only for the manager to discover the price should ve been a mere 25 dollars, the manager proceeds to send the busboy to the guests, to return the 5 overpaid dollars to them.
The busboy decides that since the friends payed seperately, he should each give them an equal share. In order to achieve this, he tips himself 2 dollars, and gives each of the friends one dollar back.
Here it comes; each friend payed 10 dollars, and got one dollar back, meaning they payed 9 dollars each.
Three times nine equals 27. The busboy took two dollars for himself. 27 + 2 = 29.
What happened to the last dollar?
.....
I know that when phrasing it differently, you still reach 30 dollars (Paying 25 for the room, getting 3 back from the busboy who keeps two.
What I truly DON'T know is WHERE does that one dollar go? (9 x 3) + 2 = 29
.....
Three friends enter a hotel, and each pay 10 dollar for a shared 30 dollar room.
They go to their room, only for the manager to discover the price should ve been a mere 25 dollars, the manager proceeds to send the busboy to the guests, to return the 5 overpaid dollars to them.
The busboy decides that since the friends payed seperately, he should each give them an equal share. In order to achieve this, he tips himself 2 dollars, and gives each of the friends one dollar back.
Here it comes; each friend payed 10 dollars, and got one dollar back, meaning they payed 9 dollars each.
Three times nine equals 27. The busboy took two dollars for himself. 27 + 2 = 29.
What happened to the last dollar?
.....
I know that when phrasing it differently, you still reach 30 dollars (Paying 25 for the room, getting 3 back from the busboy who keeps two.
What I truly DON'T know is WHERE does that one dollar go? (9 x 3) + 2 = 29
Comments
Posted by pizzamogul on 2015-07-23 23:09:50
https://en.wikipedia.org/wiki/Missing_dollar_riddle
Posted by Timetis on 2015-07-23 23:12:28
Thanks! My google search came up with a few none satisying answers.
That does make this a bit redundant:d
That does make this a bit redundant:d
Posted by Wreckage on 2015-07-23 23:21:05
The three of them together paid 27 dollars, not 25. Because the busboy took two additional dollars to the 25.
Since the amount they had to pay was never actually 30 dollars, it is pointless to calculate up to it from the amount they did pay. So really it is
3*9 -2 = 25
Since the amount they had to pay was never actually 30 dollars, it is pointless to calculate up to it from the amount they did pay. So really it is
3*9 -2 = 25
Posted by Throweck on 2015-07-24 00:19:04
I found it on the floor outside the hotel.
Posted by awambawamb on 2015-07-24 01:10:22
5 dolla love you long time.
Posted by pythrr on 2015-07-24 01:10:24
goblins stole it
true story, bro
true story, bro
Posted by Jopotzuki on 2015-07-24 01:10:59
Omg I tried this with monopoly money and now I'm one dollar short. Where did it go?
Posted by jy1 on 2015-07-24 01:29:00
its a trick. they each payed 9 dollars, and they each have one dollar. 27+3=30. the bus boy is a red haring. if he gave them the two dollars, they would each have payed 8.33, which is 25+the five they got in refund. i hope that helps.
Posted by huff on 2015-07-24 01:55:01
Ok... So they each payed 9 plus they each have a dollar. It makes sense now... Some slick wording there.
Posted by xnoelx on 2015-07-24 02:07:18
It's all about deceptive wording, rather than actual maths. It's like when you trick a little kid into thinking they have 11 fingers by counting down from 10 on one hand, ending with 6. Then up from 1 on the other hand, ending with 5. Then hit them with "...and 5+6 is 11".
Posted by Gadfly on 2015-07-24 05:04:11
Without reading any of the other answers (so sorry if someone has already said this).
Whoever did this must have got their (deceptive) math wrong.
each person paid a 1/3 of 25, which is roughly 8.33, each one of them gets a dollar back, which takes their share to 9.33 each, 3 x 9.33 is 28, then ad the 2 the busboy paid himself (stole??) to make 30. Simple...
Whoever did this must have got their (deceptive) math wrong.
each person paid a 1/3 of 25, which is roughly 8.33, each one of them gets a dollar back, which takes their share to 9.33 each, 3 x 9.33 is 28, then ad the 2 the busboy paid himself (stole??) to make 30. Simple...
Posted by fidius on 2015-07-24 06:42:28
I think we can assume that since the Manager sent the Busboy from his station in the kitchen, the Bellhop wasn't available, which is curious since Bellhops work longer hours than Busboys do. Plus, giving money back to guests isn't a high priority, so why didn't the Manager simply wait until the Bellhop returned? And surely the restaurant was not busy at that time, or the Busboy would be bussing tables. Also, $25 is obscenely low, surely this place was a run-down old shack for which "hotel" is entirely too good a term. My guess is that the hotel is a front for the mob, and that the Manager had recently given the Bellhop a nice new pair of cement shoes, perhaps because while he was carrying a well-dressed gentleman's suitcase up to his room earlier that day, the case opened and wads of unmarked high-denomination bills spilled out. The Busboy found out about the killing, and was eager to look busy during his downtime, but also knew if he was going to get away from these killers he'd need a fake ID and plane fare. So he started collected cash however he could... $2 dollars at a time.
As for the missing dollar, the mob's bookkeeper, who has an economics degree and knows his supply and demand well, took it in "rents".
As for the missing dollar, the mob's bookkeeper, who has an economics degree and knows his supply and demand well, took it in "rents".
Posted by bghandras on 2015-07-24 08:13:24
You should remove the 2, not add. As they paid 27, and the end result should be 25, not 30. So the last equation should read as 27-2=25.
Posted by Throweck on 2015-07-24 09:10:31
I am absolutely amazed...xnoelx has 11 fingers...whaaaaaaaaaaaa? o.O
Posted by Cloggy on 2015-07-24 11:19:27
That way he can 10-finger-type while still giving Nuffle the finger. Quite useful....
Posted by Rabe on 2015-07-24 11:47:25
fidius got the best explanation. Hands down.
Posted by Grod on 2015-07-24 12:35:25
Haha nice question. Took me a minute :)
The amount they paid was of course 3x9-2=25 NOT 3x9+2=30...
I like the way the question misleads you though :)
The amount they paid was of course 3x9-2=25 NOT 3x9+2=30...
I like the way the question misleads you though :)
Posted by Grod on 2015-07-24 12:36:27
I see I am not the first one to get it, reading the comments above mine :)
Posted by paradocks on 2015-07-24 14:14:00
I remember now being read this when I was about 8 years old, as soon as I started your blog I remembered the thing. Really great riddle, average people are bound to be utterly confused by this (as i was), brilliant!
Posted by Roland on 2015-07-24 14:48:26
It was donated to Pentalarc
Posted by Arktoris on 2015-07-24 15:15:19
someone didn't tip a dollar
Posted by Mr_Foulscumm on 2015-07-24 19:23:20
wait, so if you take money that you're supposed to give back to people, you can call it a tip instead of theft? :/
Posted by licker on 2015-07-24 22:32:24
30 - 5 = 25
25 + 1 + 1 + 1 + 2 = 30
Why is this a thing?
25 + 1 + 1 + 1 + 2 = 30
Why is this a thing?