# Where's the Extra Dollar

• Dec 21st 2005, 04:13 AM
amberbrown
Math Riddle URGENT
I need help with this one ASAP:

3 guys decide to rent a room while traveling. They are told the room is \$30, so they equally divide the room to be \$10 per guy. In the course of registration, the manager says they are offering a discount, the room will be \$25. To aid them in splitting the difference, the owner said I will keep \$2 and you will each get \$1 back. That would make their share \$9 per guy. \$9 x 3 = \$27. If the owner kept \$2, what happened to the other dollar??????
• Dec 21st 2005, 05:51 AM
CaptainBlack
Quote:

Originally Posted by amberbrown
I need help with this one ASAP:

3 guys decide to rent a room while traveling. They are told the room is \$30, so they equally divide the room to be \$10 per guy. In the course of registration, the manager says they are offering a discount, the room will be \$25. To aid them in splitting the difference, the owner said I will keep \$2 and you will each get \$1 back. That would make their share \$9 per guy. \$9 x 3 = \$27. If the owner kept \$2, what happened to the other dollar??????

Nothing, the owner has \$27 (that is \$25+\$2) and each of the guys has \$1 - total \$30.

RonL
• Dec 21st 2005, 08:24 AM
amberbrown
How much did each person end up paying then?
• Dec 21st 2005, 08:26 AM
CaptainBlack
Quote:

Originally Posted by amberbrown
How much did each person end up paying then?

\$9, they initially paid \$10 and received \$1 back, 3x9=27.

The \$2 is what the owner kept over the \$25 he was entitled to
not the difference between what the guys finally paid and what
they initially paid.

RonL
• Dec 21st 2005, 08:33 AM
amberbrown
Ok that is where the problem is coming in, what about that other \$1
• Dec 21st 2005, 08:40 AM
CaptainBlack
Quote:

Originally Posted by amberbrown
Ok that is where the problem is coming in, what about that other \$1

There is no other dollar. The riddle is all about misdirection. It mentions
the \$27 and the \$2 and implies that these should sum to \$30. But they
should not be added they are not what you think. The \$2 is how much
more than the owner is entitled to that he keeps, so he keeps \$27,
but the problem is trying to suggest that \$30 should equal what the
guys have paid plus the the extra that the owner keeps, but it ain't so.

RonL
• Dec 21st 2005, 08:43 AM
amberbrown
I got it now, thanks! It was throwing me something awful!!!!
• Dec 21st 2005, 08:45 AM
MathGuru
Of the \$30

owner got \$27
renter #1 got \$1
renter #2 got \$1
renter #3 got \$1

total = \$30

The question is misleading, they are mixing up two different things, how much extra the owner took and how much the guys paid, the question is a mess but the answer is clear.