document.write( "Question 86616This question is from textbook Elementary and Intermediate Algebra
\n" ); document.write( ": American Products plans to lay off 10% of its employees in its aerospace division and 15% of its employees in its agricultural division. If altogether 12% of the 3000 employees in these two divisions will be laid off, then how many employees are in each division?\r
\n" ); document.write( "\n" ); document.write( "the instructor wants me to learn first how to set this problem and i do not know how to do it
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Algebra.Com's Answer #62657 by dolly(163)\"\" \"About 
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Total number of employees = 3000\r
\n" ); document.write( "\n" ); document.write( "No: of employees laid off = 12% of 3000\r
\n" ); document.write( "\n" ); document.write( " = 0.12 * 3000\r
\n" ); document.write( "\n" ); document.write( " = 360\r
\n" ); document.write( "\n" ); document.write( "Let the number of employees in aerospace division = x\r
\n" ); document.write( "\n" ); document.write( "Number of employees laid off here = 10% of x\r
\n" ); document.write( "\n" ); document.write( " = 0.1x\r
\n" ); document.write( "\n" ); document.write( "So the number of employees in agricultural division = 3000 - x\r
\n" ); document.write( "\n" ); document.write( "Number of employees laid off here = 15% of (3000-x)\r
\n" ); document.write( "\n" ); document.write( " = 0.15(3000-x)\r
\n" ); document.write( "\n" ); document.write( " = 450 - 0.15x\r
\n" ); document.write( "\n" ); document.write( "Total Number of employees laid off in both = 0.1x + 450 - 0.15x\r
\n" ); document.write( "\n" ); document.write( "Thus 0.1x + 450 - 0.15x = 360\r
\n" ); document.write( "\n" ); document.write( "==> - 0.05x + 450 = 360\r
\n" ); document.write( "\n" ); document.write( "==> -0.05x = 360 - 450\r
\n" ); document.write( "\n" ); document.write( "==> - 0.05x = - 90\r
\n" ); document.write( "\n" ); document.write( "==> x = -90/-0.05\r
\n" ); document.write( "\n" ); document.write( " = 1800\r
\n" ); document.write( "\n" ); document.write( "Thus number of employees in aerospace division = 1800\r
\n" ); document.write( "\n" ); document.write( "And number of employees in agricultural division = 1200
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