# How this total is coming wrong?

Three people check into a hotel.

They pay \$30 to the manager and go to their room. The manager suddenly remembers that the room rate is \$25 and gives \$5 to the bellboy to return to the people. On the way to the room the bellboy reasons that \$5 would be difficult to share among three people so he pockets \$2 and gives \$1 to each person.

Now each person paid \$10 and got back \$1.

So they paid \$9 each, totaling \$27.

The bellboy has \$2, totalling \$29.

Where is the missing \$1? - Answerers beware: your dollar signs need to be prefixed with backslashes. – Ben Millwood Mar 7 '13 at 10:19 Also, when I heard this story, the \$2 was a tip, not theft :( – Ben Millwood Mar 7 '13 at 10:22
@BenMillwood, now that you say it, yes, that was also the version I learned. Sounds better. – Andreas Caranti Mar 7 '13 at 10:27

Old story, they paid $\$27$in total,$\$25$ for the room, and $\$2$for the (unfaithful?) bellboy. - They did not pay$9$each to the manager.They paid a total of$27 = 25 + 2$(bellboy) The total rent is$25$. Each of them got$1$back. So the total adds upto$25+(1.3) = 28$And the remaining$2$is with the bellboy. So$28+2 = 30\$