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)![]() ![]() 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 \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( " |