document.write( "Question 926251: A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there? ( answer is 8 - show your solution ) \n" ); document.write( "
Algebra.Com's Answer #562099 by stanbon(75887)\"\" \"About 
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A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there? ( answer is 8 - show your solution )
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\n" ); document.write( "Equations:
\n" ); document.write( "# of persons equation:: m + w= 13
\n" ); document.write( "# of envlopes per person:: 40/w - 40/m = 3
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\n" ); document.write( "Modify to solve::
\n" ); document.write( "m + w = 13
\n" ); document.write( "40m - 40w = 3wm
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\n" ); document.write( "Substitute for \"w\" and solve for \"m\"::
\n" ); document.write( "40m - 40(13-m) = 3(13-m)m
\n" ); document.write( "40m - 40*13 + 40m = 39m - 3m^2
\n" ); document.write( "3m^2 + 41m - 40*13 = 0
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\n" ); document.write( "m = 8 (# of men)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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