document.write( "Question 948811: The first day, a contractor hired 11 carpenters, 3 masons, and 5 helpers. The second day, he hired 6 carpenters, 5 masons, and 2 helpers. The third day, he hired 5 carpenters, 3 masons, and 3 helpers. If his payroll was 194 the first day, 137 the second day, and 112 the third day, how much did he pay each mason a day? \n" ); document.write( "
Algebra.Com's Answer #579340 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The first day, a contractor hired 11 carpenters, 3 masons, and 5 helpers. \n" ); document.write( " The second day, he hired 6 carpenters, 5 masons, and 2 helpers. \n" ); document.write( " The third day, he hired 5 carpenters, 3 masons, and 3 helpers. \n" ); document.write( " If his payroll was 194 the first day, 137 the second day, and 112 the third day, \n" ); document.write( " how much did he pay each mason a day? \n" ); document.write( ": \n" ); document.write( "Write an equation for each day \n" ); document.write( "11c + 3m + 5h =194 \n" ); document.write( "6c + 5m + 2h = 137 \n" ); document.write( "5c + 3m + 3h = 112 \n" ); document.write( ": \n" ); document.write( "Multiply the first equation by -1, write the equations as follows \n" ); document.write( "-11c - 3m - 5h =-194 \n" ); document.write( "6c + 5m + 2h = 137 \n" ); document.write( "5c + 3m + 3h = 112 \n" ); document.write( "--------------------Adding eliminates c and h \n" ); document.write( "0 + 5m + 0 = 55 \n" ); document.write( "m = 55/5 \n" ); document.write( "m = $11 a day for masons \n" ); document.write( " |