document.write( "Question 69889: 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? \n" ); document.write( "
Algebra.Com's Answer #49806 by ankor@dixie-net.com(22740)\"\" \"About 
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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?
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\n" ); document.write( "Let x = no. aero em
\n" ); document.write( "Let y = no. ag em
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\n" ); document.write( "x + y = 3000
\n" ); document.write( "x = 3000 - y
\n" ); document.write( ":
\n" ); document.write( ".10x + .15y = .12(3000)
\n" ); document.write( ".10x + .15y = 360
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\n" ); document.write( "Substitute (3000-y) for x, solve for y:
\n" ); document.write( ".10(3000-y) + .15y = 360
\n" ); document.write( ":
\n" ); document.write( "300 - .10y + .15y = 360
\n" ); document.write( ".05y = 360 - 300
\n" ); document.write( ".05y = 60
\n" ); document.write( "y = 60/.05
\n" ); document.write( "y = 1200 ags get the ax
\n" ); document.write( ":
\n" ); document.write( "x = (3000-1200) = 1800 aeros join them
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\n" ); document.write( "Check:
\n" ); document.write( ".10(1800) + .15(1200) =
\n" ); document.write( " 180 + 180 = 360 which is 12% of 3000 \n" ); document.write( "
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