document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176051>Question 1176051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A building contractor hires 8 bricklayers and 2 roofers, his daily payroll is #960, while 10 bricklayers and 5 roofers require a daily payroll of #1500. What is the daily payroll of a bricklayer and a roofer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801967 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of bricklayers<BR>\n" );
document.write( "y = number of roofers\r<BR>\n" );
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document.write( "8x + 2y = 960<BR>\n" );
document.write( "10x + 5y = 1500\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 5 and multiply both sides of the second equation by 2 to get:\r<BR>\n" );
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document.write( "40x + 10y = 4800<BR>\n" );
document.write( "20x + 10y = 3000\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:<BR>\n" );
document.write( "20x = 1800\r<BR>\n" );
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document.write( "solve for x to get:<BR>\n" );
document.write( "x = 90\r<BR>\n" );
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document.write( "replace x in the first original equation by 90 to get:<BR>\n" );
document.write( "8x + 2y = 960 becomes 8 * 90 + 2y = 960<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "720 + 2y = 960<BR>\n" );
document.write( "subtract 720 from both sides to get:<BR>\n" );
document.write( "2y = 240<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 240/2 = 120\r<BR>\n" );
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document.write( "you have:<BR>\n" );
document.write( "x = 90<BR>\n" );
document.write( "y = 120\r<BR>\n" );
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document.write( "replace x and y in both original equations to get:\r<BR>\n" );
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document.write( "8x + 2y = 960 becomes 8 * 90 + 2 * 120 = 960 which becomes 720 + 240 = 960 which becomes 960 = 960.\r<BR>\n" );
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document.write( "10x + 5y = 1500 becomes 10 * 90 + 5 * 120 = 1500 which becomes 900 + 600 = 1500 which becomes 1500 = 1500\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( "the solution is:\r<BR>\n" );
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document.write( "the daily payroll of a bricklayer is 90.<BR>\n" );
document.write( "the daily payroll of a roofer is 120.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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