document.write( "Question 1208685: please help me solve:\r
\n" );
document.write( "\n" );
document.write( "An advertisement from the back of Denton checklist:\r
\n" );
document.write( "\n" );
document.write( "$1300 sofa and love seat
\n" );
document.write( "$1400 sofa and two chairs
\n" );
document.write( "$1600 sofa, love seat, one chair \r
\n" );
document.write( "\n" );
document.write( "HOw much does each piece of furniture cost individually? \n" );
document.write( "
Algebra.Com's Answer #847078 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! please help me solve:\r \n" ); document.write( "\n" ); document.write( "An advertisement from the back of Denton checklist:\r \n" ); document.write( "\n" ); document.write( " (1) $1300 sofa and love seat \n" ); document.write( " (2) $1400 sofa and two chairs \n" ); document.write( " (3) $1600 sofa, love seat, one chair \r \n" ); document.write( "\n" ); document.write( "How much does each piece of furniture cost individually? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "From (1) and (3), we see that one chair price is 1600 - 1300 = 300 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Having it, from (2) we conclude that the sofa price is 1400 - 2*300 = 1400 - 600 = 800 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Finally, from (1) we deduce that the love seat price is 1300 - 800 = 500 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The prices are $800 for sofa, $500 for love seat and $300 for a chair.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is intended and is expected to be solved mentally, using reasoning only and without using any equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The normal expectation is that a person/ (a student) will solve it mentally in his/her mind from the first glance, \n" ); document.write( "using paper and pencil and spending about 1 minute to make all necessary calculations and writing.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the solution does not teach it, then this time is wasted.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |