each men paid $9, 9x3=27 and the 2 in the bell boys pocket makes 29 where is the other dollar?

Question

total of money should be 30

%MCEPASTEBIN%

Answer 1

In my opinion, nothing happened to it. Each of the three men started by paying $10. They were supposed to pay only $25. The bellhop gave each of them one dollar back, pretending the bill final bill was $27.
 
The mental trick is thinking the 3x =30, and then the splitting of the five to the men and bellhop causes 27 + 2 = 29 ≠ 30.

 

What really is happening instead of 3x = 30 is 3x + 5 = 30, or after subtracting five from both sides, 3x = 25, which translates to 8 ¹/₃ per man for the actual cost of the room.

 

What happened to the other two thirds of each dollar? That went to the bellhop: ²/₃ * 3 = 2 that he actually took.

The other three dollars were returned to the men.

 

30 (what the first payment is) = 25 (what the clerks true cost is) + 2 (bellhop takes) + 3 (return)

Then 3 dollars are returned, which has their room cost the 27 dollars

27 (what the men had) -  2 (what the bellhop took) = 25 (what the clerk says is the final room cost) 

 

If you want to see it in simple mathematics, it looks like this:

30 = 25 + 3 + 2

30 - 3 = 25 + 2

27 = 25 + 2

27 - 2 = 25

 

So long story short, we weren't trying to add up to 30, we were trying to deduct down to 25.

Answer 2

The three men were told the room costs $30. Each person gave $10. The manager said that they were overcharged, that the room should only cost $25. The manager gave the bellboy 5 $1 bills to give back to the three men. The bellboy kept $2 and gave each person $1 back. Each person gave $9 for a total of $27 for the room that should have cost only $25. They were cheated out of $2 by the bellboy who kept the $2 from the $5 that the manager gave him to give back. There is no missing money. $25 for the room, $3 that was given back to them, and $2 that the bellboy kept. Look at it this way: they paid $27 for the room because they got $3 back. The $2 is included in the $27 because the room only cost $25, the bellboy kept $2, and $3 was given back to the men.