document.write( "Question 1125303: Amy and Brian go to shop to buy a bag. However, Amy is 200 short, and Brian is 2400 short. Even if they combine their money, they still can't afford the bag. How many pesos does the bag cost? \n" ); document.write( "
Algebra.Com's Answer #741642 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Amy and Brian go to shop to buy a bag. However, Amy is 200 \"highlight%28pesos%29\" short, and Brian is 2400 \"highlight%28pesos%29\" short.
\n" ); document.write( "Even if they combine their money, they still can't afford the bag. How many pesos does the bag cost?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "            It is a classic entertainment problem,  but in your post it is posed  INCORRECTLY.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            With this condition the problem  HAS  NO  a unique solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Some vitally important part is missed in the post.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Check your source and then edit the post.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Then re-submit.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The logic behind this problem is THIS:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let the bag costs C pesos.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then, according to the condition,  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Anmy has  (C-200)    pesos;\r\n" );
document.write( "    Brian has  (C-2400)  pesos;\r\n" );
document.write( "    Together, they have (2C-2600) pesos,\r\n" );
document.write( "\r\n" );
document.write( "    and it is still not enough, i.e.  2C-2600 < C.     (*)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From this inequality, you only can say that  C < 2600.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You can also add that  C > 2400.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the compound inequality  2400 < C < 2600  is ALL that we can extract from this condition.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Had the condition says,  instead of (*),  how much they are short  together,  then it would create an additional equation
\n" ); document.write( "to solve the problem by an unique way.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So,  again,  the condition is INCORRECT and requires to be corrected.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );