Missing $10, can anybody tell me where it went?

Question

3 Guys walked into a Motel for the night, the rate was $300 for the room, so the three men paid $100 each...

Two hours later, the owner had realised that he had overcharged them by $50, that the room should of been $250. He called the bellboy up and gave him the $50 to give to the guys. While the bellboy was walking up he thought to himself " I'll put $20 in my pocket and give the guys back $10 each "...

By giving back the $10 each, the men had paid $90 each for the room, making the total cost of $270 for the room, but the bellboy still has the $20 in his pocket, making the total $290. Were the original payed figure was $300.

3 x $100 = $300 (old Price)
$10 was given back for overprice making room $90 each
3 x $90 = $270 (new price)
plus the $20 in bellboys pocket
equalling $290..... WHERE DID THE OTHER $10 GO TO??

Answer 1

Check the couch

Answer 2

you added when you should have subtracted...in other words the bellboy's share is not the difference between the price paid ($270) and the original price ($300). Rather, it's the difference between the $270 and the actual cost of the room ($250). So the calculation should go like this:

3 x $100 = $300 (old Price)
$10 was given back for overprice making room $90 each
3 x $90 = $270 (new price)
minus the $20 in bellboys pocket
equalling $250

Answer 3

so I think I have the answer - the guys pay $100ea. x 3 = 300
then subtract $30 because they each got 10 back, making what they paid (what is in the motel safe) $270, but subtract 20 that went into the bellboys pocket so therefore in the hotel safe there is $250, 20 in the bellboy's pocket, and 10 back to the guys, 10 x3 is 30, and 250 + 20+ 30 is 300, which is the original amount.

Answer 4

Nope, there is no missing $10....

when you calculated 3 * 90 =270

That includes the 20 that the bellboy took:

If the owner returned 50, he has 250 with him (or in the register, whatever). Then the bellboy took 20, that's 270 and the last 30 was returned to the guys.

Answer 5

That is one answer that can not be told--once you get it you are in an exclusive club.
Never give out the answer!