document.write( "Question 226581: you have 40 seats and 137 legs. By making chairs and 3- legged stools, how many of each can be made? But having no left overs \n" ); document.write( "
Algebra.Com's Answer #168690 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let c= # chairs(4 legs),,,,,,and s=# stools (3 legs) \n" ); document.write( ". \n" ); document.write( "c+s = 40,,or c=40-s,,,number of seats,,,,1 seat each for chair or stool \n" ); document.write( ". \n" ); document.write( "4*c +3*s = 137,,,,,,,,total number of legs \n" ); document.write( ". \n" ); document.write( "subst,,,,4(40-s) +3s = 137 \n" ); document.write( ". \n" ); document.write( "160 -4s +3s =137 \n" ); document.write( ". \n" ); document.write( "160-137 = 4s-3s \n" ); document.write( ". \n" ); document.write( "23 = s,,,,,,,,,c=40-s,,,,,c= 40-23 = 17 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "check,,,,3*23 +4*17 = 69 +68 = 137,,,,ok \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |