document.write( "Question 1158206: 3 people go to stay at a motel and the clerk charges them $30.00 for the room. They split the cost $10 each. Later the manager tells the clerk that he overcharged the guests and that the actual cost should have been $25.00. He gives the clerk $5.00 and tells him to give it to the men. But the clerk decides to cheat them and pockets $2.00. He then gives each guest $1.00. Now each person has paid $9.00 to stay in the room and 3*$9.00=$27.00. The clerk pocketed $2.00. $27.00+$2.00=$29.00. So where is the other $1.00? \n" ); document.write( "

Algebra.Com's Answer #781107 by VFBundy(438) $\"\"$ $\"About$

You can put this solution on YOUR website!
There is a double-counting of the $2.00 that the clerk pocketed. So, it's not that $1.00 is missing; it's that $2.00 is double-counted.
\n" ); document.write( "
\n" ); document.write( "The total amount paid by the men is $27.00. They paid $25.00 to the hotel and $2.00 to the clerk. The way the problem is presented is that it says they paid $27.00, but then it also says the clerk received $2.00. They are double-counting the $2.00.
\n" ); document.write( "
\n" ); document.write( "Total paid by the men = $27.00 ($25.00 to the hotel; $2.00 to the clerk).
\n" ); document.write( "
\n" ); document.write( "But, then the $2.00 is accounted for AGAIN (double-counted) when the problem mentions that $2.00 was taken by the clerk.
\n" ); document.write( "
\n" ); document.write( "The $27.00 paid by the men INCLUDES the $2.00 paid (stolen) from the clerk. $27.00 is the real amount in play. (Not $30.00, and certainly not $29.00.)
\n" ); document.write( "But then, the problem mentions the $2.00 taken by the clerk, and tacks it onto the $27.00 to make $29.00. (The problem is, this $2.00 was ALREADY INCLUDED in the $27.00.) \n" ); document.write( "

\n" );