document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142797>Question 142797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bricklayer and an electrician together spend 90 hours working on a new house.  If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?       </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103908 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time spent by the bricklayer<BR>\n" );
document.write( "And let y=amount of time spent by the electrician\r<BR>\n" );
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document.write( "Now we are told the following\r<BR>\n" );
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document.write( "x+y=90----------------------------eq1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "12x+16y=1350 ($ understood)-----------------------eq2\r<BR>\n" );
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document.write( "Multiply eq1 by 12:<BR>\n" );
document.write( "12x+12y=1080--------------------eq1a<BR>\n" );
document.write( "Subtract eq1a from eq2:\r<BR>\n" );
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document.write( "4y=270  divide each side by 4<BR>\n" );
document.write( "y=67.5 hours----------------------------amount of time spent by the electrician<BR>\n" );
document.write( "Substitute y=67.5 into eq1:\r<BR>\n" );
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document.write( "x+67.5=90  add 67.5 to each side<BR>\n" );
document.write( "x+67.5-67.5=90-67.5  collect like terms\r<BR>\n" );
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document.write( "x=22.5 hours-------------------------------time spent by the bricklayer\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "67.5+22.5=90<BR>\n" );
document.write( "90=90<BR>\n" );
document.write( "and<BR>\n" );
document.write( "67.5*16+22.5*12=1350<BR>\n" );
document.write( "1080+270=1350<BR>\n" );
document.write( "1350=1350\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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