document.write( "Question 1159361: An employment agency specializing in temporary construction help pays heavy equipment operators $ 132 per day and general laborers $81 per day. If thirty-two people were hired and the payroll was $3510, how many heavy equipment operators were employed? How many laborers? \n" ); document.write( "
Algebra.Com's Answer #782371 by mananth(16946) You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Let number of heavy equipment operators be x \n" ); document.write( "and laborers be y \n" ); document.write( "Thirty-two people were hired\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y =32\r \n" ); document.write( "\n" ); document.write( "Heavy equipment operators $ 132 per day \n" ); document.write( "and general laborers $81 per day \n" ); document.write( " the payroll was $3510, \n" ); document.write( "132x + 81y = 3510\r \n" ); document.write( "\n" ); document.write( " x Heavy equipment operators $ 132 \n" ); document.write( " y labourers $ 81 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "1.00 x + 1.00 y = 32.00 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "132.00 x + 81.00 y = 3510.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -81.00 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "-81.00 x -81.00 y = -2592.00 \n" ); document.write( "132.00 x 81.00 y = 3510.00 \n" ); document.write( "Add the two equations \n" ); document.write( "51.00 x = 918.00 \n" ); document.write( "/ 51.00 \n" ); document.write( "x = 18.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 32.00 \n" ); document.write( "18.00 + 1.00 y = 32.00 \n" ); document.write( " 1.00 y = 14.00 \n" ); document.write( " y = 14.00 \n" ); document.write( "Ans x = 18.00 \n" ); document.write( " y = 14.00 \n" ); document.write( " 18 Heavy equipment operators \n" ); document.write( " 14 labourers \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " how many heavy equipment operators were employed? How many laborers? \n" ); document.write( " |