Anyone out here any good at math???

Question

I have always wondered what happened to the other dollar!!
Three men rented a room on a business trip. They were charged $30.00 for the room. Each man paid $10.00. The clerk started feeling guilty about overcharging the gentlemen. So he called the bellboy and gave him $5.00 to give back to the men. The bellboy wondered how on earth he was going to divide $5.00 between three men. So he took $2.00 and gave $1.00 back to each man. Out of there pocket, how much did each man pay for the room? Answer is $9.00. 9 times 3=27 plus the 2 dollors the bellboy put in his pocket makes $29.00. Where on earth is the other dollar......??????????????? TALK TO ME TALK TO ME!!!!!

Answer 1

The other dollar is in the puzzle itself. You have made a mistake in calculating the problem.
Money given by Businessmen = money received by clerk
i.e. 3 * 10 = 30
now clerk gives back 5
the clerk has now 25
let money of business men = a
money of clerk = b
money of bellboy = c

Initially
a = b ...1st
Then
c = 5, b¹ = 25 & b¹ + c = 30
:a = b¹ + c ...2nd
Then
c¹ = 5 - 3 = 2
to get c¹ = 2 in 2nd equation we subtract 3 from both sides

a - 3 = b¹ + c¹ ... 3rd (here c is now 2)
Now a = 30, a - 3 = 27

the equation is still balanced

Now let a¹ = 27 (the new value of a)

a¹ = b¹ + c¹

Bringing c¹ to the other side

a¹ - c¹= b¹
27 - 2 = 25
So you see, you must not add 27 + 2 but rather subtract 27 - 2 to get 25 and not 30.

Answer 2

Nothing happened to it. It's still there. The clerk told the bellboy to give $5 back to the men. So now the total payment is $25. The bellboy gave 3 dollars back to the men, and took two for himself.

$25 paid+$3 gave back+$2 dollars taken=$30

Answer 3

There is no missing dollar:


Each man paid $9. So in total they paid $27. $25 went to the room and $2 dollars went to the bellboy. You are supposed to subtract 2 from 27, not add 2 to 27.


Here is why:

money paid = money that the hotel got + money that the bellboy got.

money paid originally = money paid + money returned = money that the hotel got + money that the bellboy got + money returned.

The first equation gives $27 = $25 + $2
The second gives $30 = $27 +$3 = $25 + $2 + $3

Answer 4

This question gave me a real headache aswell. The thing is that the question misleads you. Observe:
They each paid $10 x 3 = $30.
The manager gives back $5 so they actually only paid $30 - $5 = $25.
So they actually only paid $25 / 3 = $8.3333333333
If you add the $3 the bellboy gave them they each payed $8.3333333333 + $1 = $9.3333333333
In total they each paid $9.3333333333 x 3 = $28
And the $2 the bellboy pocketed $28 + $2 = $30

Answer 5

When they said they paid $9 for the room, it was actually what financed the room ($25) and the pocket money for the bellboy ($2). This comes out to $27 total. That was exactly what they paid in.
What was misleading in the description was the implication That the tip was not paid by the men. It was!

Answer 6

There is no other dollar, the $27 includes what the bellboy took

Answer 7

hey theres no dollar coz they didn't pay (3*9)27 but they pay 25 dollars to the clerk and it return to them 3 dollars and bellboy took
2 dollars so 25+3+2=30 dollars

Answer 8

You add two things that shouldn't be added.

The $2 of the bell boy is *part of* the $27 the men paid... adding it is meaningless. Rather, we should subtract

$27 - $2 = $25

to find the real price of their room.

What happened to the missing dollar? There is no missing dollar; we can account for the $30 originally paid:

$25 -- payment for the room
$3 -- paid back
$2 -- stolen

Answer 9

The bellboy kept the other dollar

Answer 10

the one dollar left was iven to the clerk? i hate math!