document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256112>Question 256112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a union contract requires at least one union steward for every 20 union employees or fraction thereof. regular union employees ear $120/day and union stewards earn $144/day. a company has a need for 50 total employees and has a daily payroll budget of $6072. how many of each type of employee will meet the company's needs and consume all the budget? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188272 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=188272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a union contract requires at least one union steward for every 20 union employees or fraction thereof. regular union employees earn $120/day and union stewards earn $144/day. a company has a need for 50 total employees and has a daily payroll budget of $6072. how many of each type of employee will meet the company's needs and consume all the budget?<BR>\n" );
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document.write( "Quantity Equation: e + (e/20) = 50<BR>\n" );
document.write( "Value Equation: 120e + 144(e/20) = 6072<BR>\n" );
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document.write( "Multiply thru the Quantity equation by 120:<BR>\n" );
document.write( "120e + 6e = 120*50<BR>\n" );
document.write( "120e + 144(e/20) = 6072<BR>\n" );
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document.write( "Subtract the 1st Eq. from the 2nd and solve for \"e\":<BR>\n" );
document.write( "144(e/20)- 6e = 72<BR>\n" );
document.write( "144e - 120e = 72*20<BR>\n" );
document.write( "24e = 72*20<BR>\n" );
document.write( "e = 3*20<BR>\n" );
document.write( "e = 60<BR>\n" );
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document.write( "But there must be 1 steward for each 20 employees or fraction thereof<BR>\n" );
document.write( "and only 50 personnel are to be hired.<BR>\n" );
document.write( "So # of stewards is 3 and number of employees is 47 <BR>\n" );
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document.write( "Checking:<BR>\n" );
document.write( "120*47 + 144*3 = $6072<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );