Interesting math problem
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25 / F / Netherland Antilles
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Posted 7/24/10 , edited 7/24/10
Heyhey my dearest fellow chrunchyrollers, I have a problem that I need to ask you guys for help.

So 3 people went to hotel to rent a room, it cost $30 per room. Each person handed out $10 and gave it to the receptionist. When the receptionist gave the money ($30) to her boss. Her boss stated, there's a special today which cost $25 per room. And handed out $5 back to the receptionist. The receptionist took/stole $2 and gave each of the three people $1 dollar back.

But here's the problem, when the receptionist handed the each person $1 back, each person paid $9 instead of $10. 9*3=27 The receptionist took $2 so 27+2=29 where did that $1 go?

Please help me out, cuz this problem is making me feel stupid. Thanks beforehand! :D

EDIT

Ok, I try to simplify as much as I can, because I don't completely understand it myself.

There are three people, each paid $10 for a room that costs $30. Because 3*10=30.

But the room is no longer $30, but $25 instead. So there's $5 over.

The receptionist took $2 from the $5. 5-2=3

The receptionist gave the remaining $3 back to that group of 3 people, each person gets $1. Still seems totally reasonable, right?

**
But here's the thing, when the receptionist gave $1 to each person back, everyone only paid $9 instead of $10, because 10-1=9 Correct?

If every person paid only $9, and there are three people, so in total they paid $27 because 3*9=27

But the receptionist only took $2 and 27+2=29 there was $30 in the beginning, where did that $1 go?
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20 / F / Hawaii
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Posted 7/24/10
aahhh!I read it for like 10 times and I still didn't get it!! XD .. darn it's so confusing XD ..
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25 / M / Winter Springs, F...
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Posted 7/24/10
Well see, somewhere in there someone divided by 0 which then caused a micro-wormhole to open in the vicinity of the dollar bill during the transaction, causing it to be sucked away and trapped in an alternate dimension where said dollar bill still exists.
Posted 7/24/10
Funny you'd ask crunchyroll members to help you with your work.

Since I'm not good in math, I can't help you. They paid $30 to get a room, but needed 5 back due to the special. And receptionist stole 2. Maybe you miscalculated? I'm confused now =T

The special: $5 - $2= $3
The money: $30 - $5 = $25 - $2= $23
Posted 7/24/10
I took it......

I bought a snickers with it and it was good
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F / United States
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Posted 7/24/10
Hmmm..... Where did you find this problem? If it was from a textbook they usually make sure the problems come out even. Well the problem it self makes sense it's the math that doesn't make sense.
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18 / F / Canada
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Posted 7/24/10
I saw this before, I know I wrote the answer down on notepad...I'll try to find it
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26 / M / Secret Base
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Posted 7/24/10 , edited 7/24/10
A classic problem, I know this only because I read it before, not becourse im gd at maths.

Anyway the solution:

The trick in the question is to mislead you into thinking that $30 was the target price of the room, whereas the actual room is $25. This means each person paid $10 = $30, got $3 back = $27, MINUS the $2 the receptionist stole gives the actual price of the room which is $25. The $30 price tag nothing to do with the whole question and is purely there to trick people.

Sorry I can't explain this very well, maybe someone whos gd at maths can explain later better than I did.

Oh I hope this wasnt an exam / homework question because it would be grossly unfair since this is classed as a trick question.
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F / Nova Scotia
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Posted 7/24/10 , edited 7/24/10

blacktulip_y wrote:

Heyhey my dearest fellow chrunchyrollers, I have a problem that I need to ask you guys for help.

So 3 people went to hotel to rent a room, it cost $30 per room. Each person handed out $10 and gave it to the receptionist. When the receptionist gave the money ($30) to her boss. Her boss stated, there's a special today which cost $25 per room. And handed out $5 back to the receptionist. The receptionist took/stole $2 and gave each of the three people $1 dollar back.

But here's the problem, when the receptionist handed the each person $1 back, each person paid $9 instead of $10. 9*3=27 The receptionist took $2 so 27+2=29 where did that $1 go?

Please help me out, cuz this problem is making me feel stupid. Thanks beforehand! :D

EDIT

Ok, I try to simplify as much as I can, because I don't completely understand it myself.

There are three people, each paid $10 for a room that costs $30. Because 3*10=30.

But the room is no longer $30, but $25 instead. So there's $5 over.

The receptionist took $2 from the $5. 5-2=3

The receptionist gave the remaining $3 back to that group of 3 people, each person gets $1. Still seems totally reasonable, right?

**
But here's the thing, when the receptionist gave $1 to each person back, everyone only paid $9 instead of $10, because 10-1=9 Correct?

If every person paid only $9, and there are three people, so in total they paid $27 because 3*9=27

But the receptionist only took $2 and 27+2=29 there was $30 in the beginning, where did that $1 go?


I don't know what the hell you're talking about.
I just calculated 30-5+3=28.
Even 25+3=28.
So it's right, she only stole 2 dollars.


The people didn't pay 9 dollars. They would have to pay 8 dollars and 33 cents. One would even have to put another cent in. You can't just round it to 9. 25/3=8.33 NOT 9
So the remainder just fucked you up. But when you calculate it properly. It's correct.
That's why when it comes to money, you never round off. You give exact change, including cents.

Anyway, sorry, but crunchyroll isn't here to do your homework for you.

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