document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123418>Question 123418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A factory employs skilled labores at 25 an hour and un skilled at 12 an hour. The hourly cost of the factorys 24 workers is $405. Howmany of each type of laborer works at the factory? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90588 by </B><A HREF=/tutors/aboutme.mpl?userid=johnnico6426><B>johnnico6426(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=johnnico6426><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=90588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since there are 24 total workers, we can conclude that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=24 ALIGN=MIDDLE  ALT=\"x%2By=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > (x represents the number of skilled workers and y represents the number of unskilled workers). In addition, since the total cost of paying off the workers is $405.00, we can also conclude that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B12y=405 ALIGN=MIDDLE  ALT=\"25x%2B12y=405\"   DISABLED_style= \"max-width:90%; height:auto;\" >. (We put 25 next to x because we are paying the skilled workers $25.00. We put 12 next to y because we are paying the unskilled workers with $12.00.) Now that we have two system of equations, we can use any method to solved it. For the sake of easines, I will solve the equation using substitution.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=24 ALIGN=MIDDLE  ALT=\"x%2By=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B12y=405 ALIGN=MIDDLE  ALT=\"25x%2B12y=405\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for y in the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=24-x ALIGN=MIDDLE  ALT=\"y=24-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug they in the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B12%2824-x%29=405 ALIGN=MIDDLE  ALT=\"25x%2B12%2824-x%29=405\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug x in the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%29%2By=24 ALIGN=MIDDLE  ALT=\"%289%29%2By=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=15 ALIGN=MIDDLE  ALT=\"y=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=15 ALIGN=MIDDLE  ALT=\"y=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "In conclusion, there are 9 skilled and 15 unskilled workers. </SPAN>\n" );
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