Welcome to another one of my math videos. Here we have another trick question which

I thought was a lot of fun. It involves three friends staying in a hotel. Now the cost of the hotel is 30 dollars per

night. So if you divide this evenly each of the friends

needs to spend 10 dollars per night to stay in this hotel. So they each pay the hotel 10 dollars each. But immediately after they make the payment

the hotel realizes that they made a mistake. And they overcharged these three friends for

the room. The room really cost 25 dollars per night. So in order to make up for their mistake the

hotel decides to refund the three friends the five dollars they were overcharged. So the front desk tells the bell boy to give

the five dollars back to them. But while the bell boy is returning the money

he decides the five dollars can not be divided evenly between three people. So he decides to keep 2 dollars for himself

and to give 1 dollar to each of the three friends. So now if we take the 10 dollars they paid

initially minus the one dollar they were refunded. Each of them paid nine dollars for the room. So if they all paid 9 dollars each. That gives us a total of 27 dollars. If we add that with the 2 dollar tip of the

bell boy. 27 + 2 is equal to 29 dollars. And the question for this brain teaser is. Where is the missing dollar? We started with 30 and now we have 29. So take your time. Pause the video. Work on this problem if you need to. I will show you the solution in 5 seconds. So where is the missing dollar? Well obviously we know the dollar is not missing. And this is a trick question more because

of the way it is worded. The simple solution to this. The tip is included in the cost of the room

and should not be added afterwards. Let me show you what I mean by this. We know the 30 dollar total must be equal

to the amount of money paid plus the amount of money returned. The amount of money paid is any money that

they did not get back. So that is equal to the 25 dollars for the

cost of the room plus the tip. They don’t get the tip back so that’s money

they had to pay. So 25 dollars for the room plus the 2 dollar

tip is equal to 27 dollars. Now if we add the 27 dollars with the money

that was returned to them. Which is 3 dollars. 27 plus 3 gives us a total of 30. And we have found our missing dollar. So let me know what you thought about this

video in the comments below. Did you love it? Did you hate it? Do you think it was too easy or too hard? I hope you enjoyed it. Don’t forget to subscribe if you want to see

all my new videos. Thank you so much for watching. And I will see you in my next one.

## 100 comments

## Josue Meza

tbh this was easy.

## Bris Focus

ooh you trickster – this had me going for a while!!

## Silver Goat

Nice video!

## Dilip Jain

This is quite easy but interesting. keep it up and upload more videos of puzzle.

## Sqmmx

cool!

## christopher vos

the missing dollers can be refurbished in any the hotel wants too

## onemonkeyboy

tax, because its a bitch

## dannyt4304

they paid 10 dollars…and they got three back at first…so 9 each…then that adds up to 27…but they werent paid 2…the bell boy gave them 3 instead…right?….or am i hearing this wrong

## Paul Murray

Each guest spent $9. That's a $27 dollar

debit. The bellboy got $2. That's a $2credit. You don't add debits and credits – you balance then, which is to say subtract. We are left with an unblalanced $25 dollars which, of course, is what the hotel got for the room.## David Davison

The 2 dollars is taken from the friends not the hotel bill. $25=3*$9-2. They paid $27 for a $25 room, and the bellboy pocketed the remaining $2.

## Dustin Firestone

30-5=25 3 is lost from it given back to the guys and 2 dollars to the bell boy so it is really 30-5+2 cause they paid for the hotel room and the bellboy only making it 27 dollars.

## ETRX

he did the damn math wrong 1. if you added 25 ( room cost) + 3 (change) you get 28 , not 27 . add the 2 dollar that the bell boy stole and that'd be 30 , there is no damned missing dollar

## yao du

too easy

## Ranocai M

The problem is they have $-9

## Trimmien

Well first off, the $27 already includes the bellboy's tip. The three missing dollars are in the possession of the guests who received them from the hotel after overpaying.

## StealYourLife102

you suck

## Laurent Mausservey

hum! one paid $9-$2 = $7 his room! :p

## John Smith

## Carl O

I've known this one for a long time and have actually answered i (the question is worded wrong), to the surprise of the person who asked it. He said I was the only person who had ever given him the correct answer. I've heard some say it's a flaw in our math. No. It's a flaw in the way we word the question.

## Miss Kit

I'm confused. they have five dollars due back, only 3 are given 25+3 is 28 + the $2 the guy kept is $30 am I being stupid?

## nagesh kamat

I got it right…nice 1

## Vape Naysh Represent

Ur a fucking idiot dude, the equation shouldnt be 27+2 = 30, it should be 27-2 = 25 because 30-1-1-1= 27 and then u should take away 2 more to get 25

## Nrel Bkz

ha you just showed us all wrong math….Why do we multiply…

## PROPHET

0.o mind blown

## Alluri Srinivasa Varma

how 2$becomes 3$

## PrincipalProductions

this was nothing

## Robert Burbulea

This video just made me so furious for being very stupid and obviously illogic from the beginning

## Mark Dawson

l know must be wrong but l can't see how!!

lf the bellboy gives them each 1 and keeps 2, 3+2 =5-check.

That means they've each spent 9-check.

3×9=27. 27+2=29-CHECK!

That's all l can see.

Can somebody help me!?!

## Ava Joy

That's hard! But I love it😍

## Ava Joy

That's hard! But I love it😍

## Shane Battier

The way I found out is you don't look at how much you pay. You look at how much you get back and then add that to the price you paid.. You each pay $10 so that equals $30. The real prize is $25 so you get back $1 each which puts you at $3 plus the amount of the tip which is $2 and add that to the price to see that no money is missing..

## Madhuri Bansal

Easy

## Peter Hjørland

It's much easier if you imagine the 30$ are the only money in the world. After the return, the money are split 1$ + 1$ + 1$ + 2$ +25$ = 30$

## Kieran Saul

It's cause you're treating negatives like they were positives, right? The money of the friends minus the refund they were given and the amount the dude kept should always equal twenty five (30 – 3 -2 = 25) but adding them together should not always equal thirty dollars. Like if there were four friends (and they didn't have change to break a whole dollar) it would be (30 – 4 + 1 = 27).

## MicroShark

just do 5/3 (divided) hehehehehe

it ='s 1.66666666667

## MicroShark

why dont the dude give each of them $1.66 and keep the 2 cents to himself???

## MicroShark

1:25 WRONG! its 27-2 not 27+2 this is so stupid and im 9

## Nahom Mahari

That was very hard, had to wait for the answer.

## Shifty's Club

Are you THAT stupid? Seriously? I need to block this channel before I start losing IQ points.

## PB and J Games

Easy

## dohaaymann Color Switch

i said it was with the guy in the blue because he didn't know how to divide 5 on 3 so he had an extra dollar

## First Last

They each paid 10 and got 1 back. 10 + 1 = 11. 11 x 3= 33. The hotel kept $2. 33 + 2= 35. The 1 dollar x 3 plus the 2 dollars = 5. 35 – 5 = 30.

## David Mateita

If you think twice, didn't had 10 euros each at the beginning, they had -10, because they basically lost 10 euros… by adding 1 euro to each equals that each has -9 euros and after that adding the "tip" (2 euros) equals -25…

## Bibi sadaf hashemi

It was nice , I was confuse first but the answer was on the first step of question, when they give 3$ and 2 $ was with them so they also have paid 25 $ and 3+2+25=30..

and the missing was that one dollar that they have been already given 😋

## Jonas Ilagan

But the guy gave back $3 and $25 and took $2 so 25+3+2= 30

## cici bear

tax or with the bell boy

## the guyman

Easy

## Michael MAnville

The bellboy is steeling their money.

## Von Greiner

Thanks for the video! Here is how I would explain it: you don't add the 2 dollars to the 27 dollars, you subtract them and get 25 dollars which is the new price for the stay. It would make no sense to subtract 3 dollars but add two dollars, since all five dollars need be subtracted from the the initial price.

## Bora Dasci

I didn't get the question cause I never thought that there was a missing dollar cause there is three people with 3 dollars more in there pockets and the hotel with 27 dollars in their pockets…..

## Marilyn Hanson

They paid $9.33 each not $9.

## collent

I'm Canadian so we don't have to pay a tip

## Mark AW

I think it would be easier to solve by looking at where the money is at each step rather than how much is paid.

## David Punzalan

Easy, just give the guys their money back, and repay the RIGHT amount. Problem solved, no math

## Velu's Tube

Someone dropped $1

## nikola and danilo

confusing

## skriller bee

isnt the problem supposed to go like this "A( 27-2=25 )"and not "B( 27+2=29)" i think the depiction was misleading. the goal was supposed for the hotel to return the 5 dollar correct? then that means when the 3 dollars was distributed to the people (3-30=27), the 27 dollar is the payment left in the hotel, this also means that the hotel is still 2 dollar in debt to the people. So in order for the hotel to correctly refund them the hotel need to remove 2 more dollar to the 27 dollar that was left leaving 25 dollar to the hotel and 5 dollar refunded to the 3 people. you realy are supposed to subtract the 2 and not add it right?

## BANGI OSCAR

bt tip was not said during payment of $30

## Todd Outlaw

The equation as presented is 9 × 3 + 2 = 29. Stop changing the equation and tell us where the dollar is. All you are doing is proving that there was 30 dollars to start with. Not why it disappeared.

## Miraj Ali

yay I got it

## Kaci Jones

they only counted what they paid

9×3and they don't add what they got back## Conor Kelly

They $9 dollar figure is how much they spent. The bell boys 2$ figure is how much he has. The total expenditure and how much they have all add up. Expenditure figures: 9 for each customer and 3 for the bellboy= 30 dollars spend. How much each have? Each customer has 1, bell boy has 2 and owner has 25 3+2+25= 30

## Awesomeness211i _

sorry figured out this one before he even said to pause the video

## RetroNerdLife

30-25=5($3 to the men, $2 for the bellboy). Basic math.

## Ivan Daza

no matter how you do it it should b $30,math is not perfect.

## Ali Nasiri

That's really stupid and obvious…

## Ali Nasiri

That was stupid and obvious… why would you subtract the $1 when showing how much they have, then use the amount they paid to calculate how much total they have?!

## CliffJumpingProd

27? they dont have 27 dollars? they spent 27.. they have 3 dollars, the one they got back.. plus the 2 and then plus the 25, thats 30..

## Jiab Chusa

To eazy

## Cheedella Shreyas

Good

## Mohammed Fahim

U don't know math…,🙍

## Aero Floyd

27 is the money the guys PAID and the 2 is the money the waiter ACTUALLY HAS, these two groups cannot by added together.

## Akado Yoroi

This is why you dont trust bellboys

## auazo

There is no missing dollar

## Steven Millar

its easy 30 for the room 5 back 2 pound in charity or whatever they still have a pound each in there pockets that the got gave back 25 +the 2 in charity then the 3 they got gave back 30

## Ioana the Nobody

My brain really hurts now. I'm not joking

## Dino Larson

WHOA! It's an improper conversion from a rate to a charge. $30 is the charge….the rate for 3 is $10. When $25 is the charge the rate becomes $8.33. Split the $5 charge into: the $2 "tip" ( rate is $.67)….and $3 refunded (rate is $1). Ergo: $8.33 plus $.67 plus $1=$10 rate.

## Richard Cooper

Actually the room cost them 8.333 per person. 3 Into $25. Pluse they got back a dollar so each had 9.333 involved. for $27.99 pluse the $2.00 for the tip 29.99 partial left over to split three ways.

## Yash Singh

very nice video it is very tiriki question I love it

## shamila iqbal

Its meant to be 27-2 = 25 not 27 +2 = 29 the 3 dollars were meant to be added to 27 instead of the 2 dollars

## Oscar Valenzuela

This just shows us how we use math in the wrong situations, because it doesn’t make sense that everyone paid 9 and that multiplied by 3 gives us 27 if the total was 30, I understand the solution I’m just saying that we shouldn’t use the multiplication in this problem

## Cole Cote

I loved this riddle. My friend told it to me and I kept getting hung up on it. I was only able to say: "They didn't pay nine, they paid ten. It has something to do with that."

## PRIYANSHU DANCE VIDEOS

sorry but I cannot get my answer correctly please reply me fast

## Ignacio Ruiz

I have a slightly different version of this problem.

"A young person wants to buy a $97 jacket. So, he borrows $50 from their dad and $50 from their mom. Now he has the $100 to buy the jacket and therefore he owes each one of his parents $50.

He buys the jacket and now he has $3 left. He decided so keep $1 for himself and return $1 to dad and $1 to mom. He now has $1 and owes $49 to their dad and $49 to their mom.

The problem is: if he owes $49 to each one of them, and he kept $1… where is the missing dollar? 49+49=98 + 1 = 99"

## McGannahan Skyjellyfetti

The bell boy's a thief! 1:00

## Random Comment Here

We watched this video in class I thought it was really cool keep it up

## Massey Forbusiness

My dad taught me this riddle some 40 years ago. One of my favorites.

## xXx Lükê Hûghēs xXx

I don't get it someone please tell me

## Fiodor Boescu

best math riddles https://play.google.com/store/apps/details?id=com.EleonorsApp.MathRiddlesLogicAndPuzzles

## John D. Bell

My mom still swears the bellboy stole a dollar!

## Dennis Nichols

Simple, kind of. Look at the actual cash, the actual notes – The hotel has $25 (actual cash) the bell boy has $2 (actual cash) and the guys have $3 (actual cash) That's the breakdown of the actual $30. You cannot add the $2 to the $27 because it is already included ($27 = the hotel's $25 and the bell boy's $2)

## karedla vaishnavi

Ooooooooooooooooohhhhhhhhhhhhhhhhhhhhhhhhhhhhhh…. finally 😅

## emilee oop

Everyone is saying $27 but i got to $28.

$30 were given, but then the bell boy kept $2. The other money was returned. So, they collectively spent 28

## Yejin Song

anyone else still not get it?

## Prateek Mahajan

27 is the final amount they paid bellboy kept 2 dollars so the bill is 25 dollars you just can't add the bellboy's amount to the final amount.

## OnlyGamingHere

my teacher tricked the whole class exept me

## Sandro bejanidze

My history teacher asked me this question

## NowWhat

What your showing is a different math sequence to come up with 30. Not explaining in the sequence being used why the dollar is missing in that scenario. Regardless, always good to see people being able to count to 30…

## M A

Thanks man 👌

## HAMSA HARSHA

Who will add the tax with the tax of 1$ now its 30$