$1 missing!

[Sean The Owner]

its just some err...brain teaser? or something...ok, so anyways..

say...fable, wing and moonbiter are going to rent a hotel, they get seperate rooms, and for some reason its only $10 each for the night, so a total of $30 was paid.

then the manager of the hotel(buck satan?) sees fable and remembers how good of a student fable was, and asks the person who brings your stuff to the room(gruntboy?) how much they were charged, he says $10 each, like everyone else. then buck satan gives grunt boy a five dollar bill and says to give it back to the 3 guys.

gruntboy sucks at math, so he asks the cashier(DW) how to split it between 3 people. DW gives him 5 loonies(loonies are $1) and says to give each of them back a loonie.

gruntboy asks DW about the other 2 loonies, and she says you keep 1, and i keep one.

so, gruntboy gives them back a loonie each.

fable, wing and moonbiter paid $9 each, gruntboy has $1 and DW has $1

9X3+1+1=29

where'd the last dollar go?

i dont know the answer...if there is one, class was over, and it was a supply teacher, so we didnt find out...and its not the government screwing you out of more tax money either

[mr_sir]

They paid $30. Buck took $5 to give back to them so the amount paid is $30-$5=$25. But Gruntboy and DW both took $1 so the total paid is $27.

$27 plus the $3 they got back is $30 so no money went missing

I'm still puzzled as to why its missing if you work it out the way you did though lol.

Edit: All I can think is that its the wrong sum you are doing. The total cost should be $25 not $30 cos that is what Buck charged. So it should be $9x3 - $1 - $1 = $25 because effectively DW and Gruntboy 'stole' the $2 so its deducted not added.

[Lady Dragonfly]

Quote:

Originally Posted by mr_sir $27 plus the $3 they got back is $30 so no money went missing I'm still puzzled as to why its missing if you work it out the way you did though lol.

There is no puzzle at all, the answer is in your first sentence. Sean added $2 instead of $3.

Quote:

fable, wing and moonbiter paid $9 each, gruntboy has $1 and DW has $1 9X3+1+1=29 where'd the last dollar go?

Dude, it is (9x3)+1+1+1=30, unless you think fable does not deserve his discount.

The other $2 should have been divided between three guests ($2:3=66 cents for each of them; plus 2 cents to throw into the wishing well), so they ended up paying more than buck satan intended ($9 instead of $8.34). The two loonies were basically stolen by DW and Gruntboy from them.

[Sean The Owner]

it would not be 9X3+1+1+1 you would add 1 only twice because gruntboy and DW are the 2 i added, the 9X3 is for fable, wing and moonbiter

[VonDondu]

Where's the money? It's simple.

After receiving $30 for the hotel room and issuing a $5 discount, Buck Satan has $25.

After keeping part of the refund, Gruntboy has $1.

DW has $1.

After receiving a refund, Fable has $1.

Wing has $1.

Moonbiter has $1.

There's your $30.

3 x $10 = 30 paid to Buck
$30 - $5 = $25 kept by Buck
$25 + $1 + $1 + $1 + $1 + $1 = $30

Here's another way to look at it. Fable, Wing, and Moonbiter each have $9 less than they started with. Buck has $25 more than he started with. Gruntboy and DW each have $1 more than they started with. Here's how you balance the equation. On one side of the equation you have $27, and on the other side of the equation you have $25 + $1 + $1. Money spent = money received. It zeros out.

Fable, Wing, and Moonbiter paid $27 for their room, represented by $10 x 3 - $5 or $9 x 3 if you prefer. Under no circumstances does 9x3+1+1 represent what they paid.

Of that $27, Buck has $25 of it and Gruntboy and DW have $2 of it:
$27 (Fable, Wing, and Moonbiter) = $25 (Buck) + $1 (Gruntboy) + $1 (DW)

Quote:

Originally Posted by Sean The Owner fable, wing and moonbiter paid $9 each, gruntboy has $1 and DW has $1 9X3+1+1=29

No, here's the key. Fable, Wing, and Moonbiter LOST $9 each, and Gruntboy and DW GAINED $1 each. So you either you need to use a minus sign instead of a plus sign or put them on opposite sides of the equation. And don't forget Buck, who GAINED $25, which is also part of the equation. Does that make it any easier to figure it out?
9 x 3 = 25 + 1 + 1
or
9 x 3 - 25 - 1 - 1 = 0

Quote:

Originally Posted by Sean The Owner it would not be 9X3+1+1+1 you would add 1 only twice because gruntboy and DW are the 2 i added, the 9X3 is for fable, wing and moonbiter

You're supposed to subtract 1 twice from 9x3, not add 1 twice. The result (25) equals the amount of money that Buck kept. In other words, Fable, Wing and Gruntboy paid $27 for the room and Buck got $25 of it and Gruntboy got $1 and DW got $1. Sorry to be so repetitive, but that obviously needs to be clarified. 9X3+1+1+1 and 9X3+1+1 have no connection to reality, and that's the problem.

[Sean The Owner]

wow...that actually makes sense the way you put it