document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154036>Question 1154036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> uestion\r<BR>\n" );
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document.write( "Two mechanics worked on a car. The first mechanic worked for <BR>\n" );
document.write( "10\r<BR>\n" );
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document.write( "hours, and the second mechanic worked for <BR>\n" );
document.write( "5\r<BR>\n" );
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document.write( "hours. Together they charged a total of <BR>\n" );
document.write( "$<BR>\n" );
document.write( "975\r<BR>\n" );
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document.write( ". What was the rate charged per hour by each mechanic if the sum of the two rates was <BR>\n" );
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document.write( "120\r<BR>\n" );
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document.write( "per hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776391 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=776391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let M1 charge at x dollars per hour and M2 at y dollars per hour\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+120 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ---> (1)\r<BR>\n" );
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document.write( "Charge for M1 working for 10 hours = 10x<BR>\n" );
document.write( "Charge for M2 working for 5 hours = 5y\r<BR>\n" );
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document.write( "Total charge is given to be 975, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%2B+5y+=+975 ALIGN=MIDDLE  ALT=\"10x+%2B+5y+=+975\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> (2)\r<BR>\n" );
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document.write( "So we have 2 simultaneous equations in 2 variables which can be easily solved.\r<BR>\n" );
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document.write( "Multiply (1) by 10 to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%2B+10y+=+1200 ALIGN=MIDDLE  ALT=\"10x+%2B+10y+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> (3)\r<BR>\n" );
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document.write( "Subtract (2) from (3) to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+1200+-+975+=+225 ALIGN=MIDDLE  ALT=\"5y+=+1200+-+975+=+225\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+225%2F5+=+45 ALIGN=MIDDLE  ALT=\"y+=+225%2F5+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From (1) we solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+120+-+y+=+120+-+45+=+75 ALIGN=MIDDLE  ALT=\"x+=+120+-+y+=+120+-+45+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "For 10 hours, M1 will get 10*75 = $750<BR>\n" );
document.write( "For 5 hours, M2 will get 5*45 = $225\r<BR>\n" );
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document.write( "Total = $750 + $225 = $975 which matches the problem input. Check complete!\r<BR>\n" );
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document.write( "Ans:<BR>\n" );
document.write( "Mechanic 1 charges $75 per hour<BR>\n" );
document.write( "Mechanic 2 charges $45 per hour<BR>\n" );
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document.write( " </SPAN>\n" );
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