Where did the other dollar go???

Question

Three friends check into a motel for the night and the clerk tells them the bill is $30, payable in advance. So they each pay the clerk $10 and check into their room.A few minutes later the clerk realized he made a mistake and overcharged them by $5.He asks the bellhop to go up and return the $5 to them.The bellhop sees this as an opportunity to profit $2 so he tells the friends that they were overcharged $3,since it would be hard to divide $5 equally between them, giving a dollar to each.He pockets the leftover $2 and goes home for the night.Now, each of the three friends gets a dollar back,so they only pay $9 each for the room which is $27 for the night.We know the bellhop took $2 and adding that to the $27,thats $29, not $30 which was originally spent. Where did the other dollar go??

Answer 1

The two dollars that was a tip to the bellhop is not added to the $27 to give $29 as the last sentence states. It is subtracted from the $27 paid by the three men ($9 each), giving $25 (which is how much the room cost).

So basically, each man paid $8.33 for the room, and $0.67 each to the bellhop. This gives the $25 room charge, $2 tip and the $3 change from the original $30.

There is no missing dollar.

Answer 2

Original bill: $30 / 3 = $10.00 each
Correct bill: ($30 - $5) / 3 = $8.33 + 1/3 cent each
Actual bill: ($30 - $3) / 3 = $9.00 each

Therefore they each have still overpaid:
$9.00 - ($8.33 + 1/3 cent) = $0.66 + 2/3 cent
for a total overpayment of $2.00 which the bellhop has.

Or another way:
Overpayment: $5 / 3 = $1.66 + 2/3 cent
Refund received: $3 / 3 = $1.00

Therefore bellhop has $0.66 + 2/3 cent from each for a total of $2.00

Mathematically you have this equation:
$30 = $25 + $5 = $25 + $3 + $2
or
Paid = Bill + Refund = Bill + Received + Bellhop

Thus:
Paid - Received = Bill + Bellhop
30 - 3 = 25 + 2

or
Paid - Received = Paid - Refund + Bellhop
Received = Refund - Bellhop
3 = 5 - 2

The above problem is attempting to make the arguement that:
Paid - Received + Bellhop = Paid
30 - 3 + 2 = 30 which is not correct.
The correct statement would be:
Paid - Received = Bill + Bellhop

Answer 3

The friends payed the money in advance i.e. $30 or $10 each. you say so.
The motel clerk made a mistake and paid $5 back of which the bellhop pocketed $2. Hence the friends in the end where out of pocket only $9 each

Answer 4

If the bellhop gave them 3 bucks back, that would be 28 (NOT 27) and he'd have the 2 -- which = 30

Answer 5

nothing happened to the other dollar. it just works out differently when you do the math......30-5=25. 25+(2+3)=30

Answer 6

Because the room isn't really $9.

You are using two different math systems to get the answers.

Answer 7

enable's see, you need to wish to bake pies and promote to ingesting places (fairly the truck stops out of the city limits the position the properly-being criteria are not to any extent further so rigorous)--assuming you need to bake an excellent looking and tasting pie. you need to wish to do the same with cakes for a wedding ceremony, once you're solid at decorating them. yet another is making espresso and sandwiches and vacationing structure internet sites at lunch or harm time, like for housing improvements. now and back they provide persons out for burgers and also you need to wish to maintain time. yet another is purchase replace at a laundromat or convenience save, and sift it for previous or uncommon funds (then you take it to the monetary agency for reachable funds to commerce on the subsequent save or day after at modern). solid fulfillment.

Answer 8

The bellhop has it

Answer 9

You should give haysoos2 the Best Answer award because he answered the question AND explained his answer. Looks like he beat me on this one.

Answer 10

3X9=27-2=25 he only has $25.00 not $30.00