3 people walk into a hotel for a room for the night. The clerk says the room is $30 so each pays $10 each. The bellboy walks up with the bags for the 3 people and notices that the room they had was a $25 dollar room and says...I heard downstairs the clerk asked you guys for $30. They say yea so ....well this is a $25 dollar room I'll go see if I can get your $5 back. They were like ok go for it. so he comes back with $5 and hands it to one of the guy's and he says well we cant split this up so we will each take a dollar and you can have the $2 that's left over..so really the 3 people now paid $9 each....and the bell boy got $2......so where is the other dollar
It got lost in your math because each person didn't pay 9 dollars, they paid 8.333333333333333333333333 dollars, which is 25 divided by 3. If they had walked in and split the original 25 dollar bill by 3, they all would have paid with 8 bucks and some change. Still, it's hard to make sense out of it and i feel like i'm leaving something out....but like i said, if they originally were charged 25 instead of 30, they would have had to split it up by 8 and change each, not 9. That's the catch. They should not have gotten a full dollar in change...which is where you lose a dollar. They should have gotten the remainder of whatever % of a dollar they paid with their 8 dollars...like 60 cents or whatever. It's fractional so in our money system it's impossible to split perfectly between 3 people.
3 people pay $9 = $27 bell boy gets $2 tip 27+2=29 they each payed 10 dollars than they each got 1 dollar back so really they each payed 9 dollars (9X3=27) the bellboy got 2 dollars (27+2=29) there is a dollar missing somewhere. but if I were to word it that they paid 30 dollars and got 5 back and took 1 dollar each and gave the bellboy 2 dollars than it adds up. 25+3=28 than add the 2 dollar tip =30
Right but you're missing that little detail. They shouldn't get a full dollar back to make it even, regardless of the 5 dollars that's coming back. 25 divided by 3 is 8.3333333333333333 and goes on forever because 5 or any multiple of 5 cannot be divided evenly by 3, so each person should not have gotten a full dollar back. It's not the 5 dollar rebate that matters, it's the dollar given back to them and/or the 2 dollars that the bell boy gets. 25 divided by 3 = 8.33333333333333333333333333 So, if they each paid 10, they should have gotten .66666666666666666 back in order to make a solid division of the 25 dollar bill by 3 people. The bell boy would then have gotten more than 2 dollars out of the rest of the 5 dollars. Think of it this way. They're charged 30 but find that the bill was only 25. The cashier then does a full 30 dollar refund and starts the transaction over with the right 25 dollar bill....then how much does each person pay?
3 dollars went back to the 3 guys,(30-3 =27) they overpaid 2 dollars for the room 9+9+9=27 25 went to the room, 2 went to the Bellboy. the 30 is out of the equation when the price of the room dropped to 25
So you're saying that damn bell boy ripped them off of their 2 bucks... That makes sense....but damnit.... $8.33333333333333!
but it starts with 30 and ends with 29 some how....nobody is out any money and there is a dollar missing....
do it this way though....same but said different 10+10+10=30-3=27+2=29 hard to explain but when said one way there is a buck missing....but if you think about it and word it different it works out
OK forget that the room is a 25 dollar room all togeather they each hand out 10 bucks=30 they each get 1 buck back so now the 30 turns into 27 bucks and the bell boy gets 2.....just like in the original question that =29
Ok it's RIGHT THERE!!!! Subtract the .33333333333333 that each of the 3 guys got back that they shouldn't have and you've got your extra dollar!!
if me and 2 guys (3 of us) gave you 10 bucks each and you gave us each a dollar back (now you have $27) and the bellboy gets 2 dollars where did the other dollar go
Man i see your point but that's the problem with this equasion. You're focusing on that dollar but you're missing the details beyond recieving a dollar and subtracting the dollar from 30. We're just going in circles here...lol. There's no point subtracting 3 dollars from 30...30 is now irrelivant. The bill has now become 25 dollars, and now you don't just give each person a dollar back...you have to figure out what percentage of that 25 dollars each person has paid, and that is, once again, 8.33333333333333 dollars per person, which of course is impossible with our 100 pennies per dollar monetary system. Therefore, to make it even you have 2 options. You either 1) give each person 1.66666666666666666 dollars (that being 5 divided by 3), which would bring you to 9.999999999999999 dollars to each guy, which is as close as you can possibly get to the original 10 dollars that each person paid (since you can't equally divide that 5 dollars between 3 people, you lose a tiny fraction of money which is why you don't get an even 10 bucks). In this instance, this is the only way to evenly distribute the money (as close as possible) and the bellboy gets nothing. Or, You give your bell boy 2 bucks out of the 5 and give each person a dollar like you said, but then you lose .666666666666 dollars which is owed to each person. In reality you're actually losing more than 1 dollar, because the damn bellboy shouldn't have gotten anything untill the 3 guys got their money back, and then they would either decide what to tip the guy or figure out what percentage of 2 dollars each person would pay....and wouldn't you know it? That comes out to .666666666666666666666 per person for the 2 dollar tip. Since we know you cannot divide 25 or 5 evenly by 3, here's how the math really works out: 9.99999999999999 x 3 = 29.9999999999999 - this is where you lose that tiny fraction per your 3 people Or, 8.33333333333333 x 3 = 24.9999999999999 - this is the closest you can possibly get to the actual 25 dollar bill Then, 5 dollar refund divided by 3 = 1.666666666666 + 8.333333333333 = 9.99999999999 - the original 10 dollars per person transaction. Screw the bell boy....he's skimming off the top. Where's my fork...this sucker's done
