3 guys check into a hotel... (Math Problem)

thecoldone06 · Mar 24, 2009

Three guys check into a hotel room and the desk clerk charges them $30. Each guy pays $10 for the room. The manager tells the desk clerk that the room is only $25 and to give them back their $5. Because the desk clerk is stumped as how to split $5 three ways, he decides to give each guy back $1 and pocket the extra $2.

If each guy gets back $1, then they each paid $9. If 9 x 3 = 27 plus the $2 from the desk clerks pocket, thats $29. Where did the extra dollar go?

xtirtzt · Mar 24, 2009

it got dropped on the ground...?

JimBeam · Mar 24, 2009

to the hotel...they shouldve each only paid like $8.33...so essentially they each overpaid and the hotel pockets the extra?

JimBeam · Mar 24, 2009

my previous answer is incorrect...

someone had to tip the hooker

Delmarva · Mar 24, 2009

In the clerks pocket

It's the wording. Don't pay attention to the $27 figure. Concentrate on this.

$30 paid.

$25 Acutal cost of room due to discount

$5 owed

$1 dollar to each

$2 for the clerk.

The mythical figure of $27 ASSUMES that the cost of the room was actually $27 due to the refund of $1 per man (it should have been 25 due to the multiple occupant discount, The number 27 was never mentioned by "motel personel"). Look only at the original price and the actual discount price of $30 and $25 respectively. If you do that, the math should make sense

30 dollars paid

25 dollars actual cost of room

5 Dollars total refund

3 dollars total to the salesmen

2 dollars to the clerk

Hence an algebraic formula ((30-5)+3)+2)=30

(25+3)+2=30

28+2=30

Or:

x=$30, total paid by salesmen

y=$25 cost of room with multiple occupancy discount

z=$5 Total amount of refund due salesmen

a=$2 Amount kept by clerk

b=$3 Actual amount refunded to salesmen

Which gives you (((x-z)+b)+a)=x

Now isn't that much simpler?

thecoldone06 · Mar 24, 2009

tigerfan00 said: ↑

my previous answer is incorrect...

someone had to tip the hooker
Click to expand...

To be honest I don't know the answer, it's just math that doesn't work.

Ticketdoctor · Mar 24, 2009

There is no extra dollar. The $2 should have been subtracted from the $27 to equal $25

Holding back on sarcastic comment for the Family Audience viewing this at home.

thecoldone06 · Mar 24, 2009

Delmarva said: ↑

In the clerks pocket

It's the wording. Don't pay attention to the $27 figure. Concentrate on this.

$30 paid.

$25 Acutal cost of room due to discount

$5 owed

$1 dollar to each

$2 for the clerk.

The mythical figure of $27 ASSUMES that the cost of the room was actually $27 due to the refund of $1 per man (it should have been 25 due to the multiple occupant discount, The number 27 was never mentioned by "motel personel"). Look only at the original price and the actual discount price of $30 and $25 respectively. If you do that, the math should make sense

30 dollars paid

25 dollars actual cost of room

5 Dollars total refund

3 dollars total to the salesmen

2 dollars to the clerk

Hence an algebraic formula ((30-5)+3)+2)=30

(25+3)+2=30

28+2=30

Or:

x=$30, total paid by salesmen

y=$25 cost of room with multiple occupancy discount

z=$5 Total amount of refund due salesmen

a=$2 Amount kept by clerk

b=$3 Actual amount refunded to salesmen

Which gives you (((x-z)+b)+a)=x

Now isn't that much simpler?
Click to expand...

Very nice!

Delmarva · Mar 24, 2009

thecoldone06[OP] said: ↑

Very nice!
Click to expand...

copy and paste..

LonghornTaco · Mar 24, 2009

It's that damn "new math"...

LonghornTaco · Mar 24, 2009

Delmarva said: ↑

In the clerks pocket

It's the wording. Don't pay attention to the $27 figure. Concentrate on this.

$30 paid.

$25 Acutal cost of room due to discount

$5 owed

$1 dollar to each

$2 for the clerk.

The mythical figure of $27 ASSUMES that the cost of the room was actually $27 due to the refund of $1 per man (it should have been 25 due to the multiple occupant discount, The number 27 was never mentioned by "motel personel"). Look only at the original price and the actual discount price of $30 and $25 respectively. If you do that, the math should make sense

30 dollars paid

25 dollars actual cost of room

5 Dollars total refund

3 dollars total to the salesmen

2 dollars to the clerk

Hence an algebraic formula ((30-5)+3)+2)=30

(25+3)+2=30

28+2=30

Or:

x=$30, total paid by salesmen

y=$25 cost of room with multiple occupancy discount

z=$5 Total amount of refund due salesmen

a=$2 Amount kept by clerk

b=$3 Actual amount refunded to salesmen

Which gives you (((x-z)+b)+a)=x

Now isn't that much simpler?
Click to expand...

nerd

oldtacomaguy · Mar 24, 2009

Delmarva said: ↑

In the clerks pocket

It's the wording. Don't pay attention to the $27 figure. Concentrate on this.

$30 paid.

$25 Acutal cost of room due to discount

$5 owed

$1 dollar to each

$2 for the clerk.

The mythical figure of $27 ASSUMES that the cost of the room was actually $27 due to the refund of $1 per man (it should have been 25 due to the multiple occupant discount, The number 27 was never mentioned by "motel personel"). Look only at the original price and the actual discount price of $30 and $25 respectively. If you do that, the math should make sense

30 dollars paid

25 dollars actual cost of room

5 Dollars total refund

3 dollars total to the salesmen

2 dollars to the clerk

Hence an algebraic formula ((30-5)+3)+2)=30

(25+3)+2=30

28+2=30

Or:

x=$30, total paid by salesmen

y=$25 cost of room with multiple occupancy discount

z=$5 Total amount of refund due salesmen

a=$2 Amount kept by clerk

b=$3 Actual amount refunded to salesmen

Which gives you (((x-z)+b)+a)=x

Now isn't that much simpler?
Click to expand...

Glad you straightened that out for us Del

Delmarva · Mar 24, 2009

LonghornTaco said: ↑

nerd
Click to expand...

aren't you the software engineer?

JimBeam · Mar 24, 2009

i still hold to my 2nd answer

drifter379 · Mar 24, 2009

delmarva said: ↑

in the clerks pocket

it's the wording. Don't pay attention to the $27 figure. Concentrate on this.

$30 paid.

$25 acutal cost of room due to discount

$5 owed

$1 dollar to each

$2 for the clerk.

The mythical figure of $27 assumes that the cost of the room was actually $27 due to the refund of $1 per man (it should have been 25 due to the multiple occupant discount, the number 27 was never mentioned by "motel personel"). Look only at the original price and the actual discount price of $30 and $25 respectively. If you do that, the math should make sense

30 dollars paid

25 dollars actual cost of room

5 dollars total refund

3 dollars total to the salesmen

2 dollars to the clerk

hence an algebraic formula ((30-5)+3)+2)=30

(25+3)+2=30

28+2=30

or:

X=$30, total paid by salesmen

y=$25 cost of room with multiple occupancy discount

z=$5 total amount of refund due salesmen

a=$2 amount kept by clerk

b=$3 actual amount refunded to salesmen

which gives you (((x-z)+b)+a)=x

now isn't that much simpler?
Click to expand...

wtf!!??!!!

LonghornTaco · Mar 24, 2009

Delmarva said: ↑

aren't you the software engineer?

Click to expand...

Software Engineer, yes. Hotel Management Mathematics, no.

JimBeam · Mar 24, 2009

Delmarva said: ↑

In the clerks pocket

It's the wording. Don't pay attention to the $27 figure. Concentrate on this.

$30 paid.

$25 Acutal cost of room due to discount

$5 owed

$1 dollar to each

$2 for the clerk.

The mythical figure of $27 ASSUMES that the cost of the room was actually $27 due to the refund of $1 per man (it should have been 25 due to the multiple occupant discount, The number 27 was never mentioned by "motel personel"). Look only at the original price and the actual discount price of $30 and $25 respectively. If you do that, the math should make sense

30 dollars paid

25 dollars actual cost of room

5 Dollars total refund

3 dollars total to the salesmen

2 dollars to the clerk

Hence an algebraic formula ((30-5)+3)+2)=30

(25+3)+2=30

28+2=30

Or:

x=$30, total paid by salesmen

y=$25 cost of room with multiple occupancy discount

z=$5 Total amount of refund due salesmen

a=$2 Amount kept by clerk

b=$3 Actual amount refunded to salesmen

Which gives you (((x-z)+b)+a)=x

Now isn't that much simpler?
Click to expand...

LonghornTaco · Mar 24, 2009

tigerfan00 said: ↑

Click to expand...

They forgot the last letter of the greek alphabet... "Sir". Or at least that's the alphabet I learned in college........

NetMonkey · Mar 24, 2009

thecoldone06[OP] initial post: ↑

Three guys check into a hotel room and the desk clerk charges them $30. Each guy pays $10 for the room. The manager tells the desk clerk that the room is only $25 and to give them back their $5. Because the desk clerk is stumped as how to split $5 three ways, he decides to give each guy back $1 and pocket the extra $2.

If each guy gets back $1, then they each paid $9. If 9 x 3 = 27 plus the $2 from the desk clerks pocket, thats $29. Where did the extra dollar go?
Click to expand...

its bad math, they paid $25, not $30.
"If each guy gets back $1" = -$1
"plus the $2 from the desk clerks pocket" = +$2

you are supposed to subtract the $2 from the clerk not add it. if you do that, then you get the $25 for the cost of the room.

surfsupl · Mar 24, 2009

3 guys in a hotel? Are you sure this is a "math" problem?

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3 guys check into a hotel... (Math Problem)

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3 guys check into a hotel... (Math Problem)

#1 thecoldone06 [OP] Well-Known Member

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#3 JimBeam BECAUSE INTERNETS!! Moderator

#4 JimBeam BECAUSE INTERNETS!! Moderator

#5 Delmarva Mayor of TW

#6 thecoldone06 [OP] Well-Known Member

#7 Ticketdoctor Senior Lettuce Washer

#8 thecoldone06 [OP] Well-Known Member

#9 Delmarva Mayor of TW

#10 LonghornTaco Can you pass the bailout please?

#11 LonghornTaco Can you pass the bailout please?

#12 oldtacomaguy four forty four

#13 Delmarva Mayor of TW

#14 JimBeam BECAUSE INTERNETS!! Moderator

#15 drifter379 CenTex Honky

#16 LonghornTaco Can you pass the bailout please?

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#18 LonghornTaco Can you pass the bailout please?

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Delmarva Mayor of TW

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