document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=900435>Question 900435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two mechanics worked on a car. The first mechanic worked for <BR>\n" );
document.write( "10<BR>\n" );
document.write( " hours, and the second mechanic worked for <BR>\n" );
document.write( "5<BR>\n" );
document.write( " hours. Together they charged a total of <BR>\n" );
document.write( "$1250<BR>\n" );
document.write( " . What was the rate charged per hour by each mechanic if the sum of the two rates was<BR>\n" );
document.write( "$175<BR>\n" );
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 #545971 by </B><A HREF=/tutors/aboutme.mpl?userid=dkala99><B>dkala99(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkala99><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=545971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the rate charged per hour by first mechanic be x\r<BR>\n" );
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document.write( "Let the rate charged per hour by second mechanic be y\r<BR>\n" );
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document.write( "Together they charged a total of $1250. So\r<BR>\n" );
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document.write( "10x + 5y = 1250  -------> equation 1\r<BR>\n" );
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document.write( "The sum of the two rates is $175. So\r<BR>\n" );
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document.write( "x + y = 175 --------> equation 2\r<BR>\n" );
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document.write( "Solve equation 1 & 2 by multiplying equation 2 by 5 and subtracting\r<BR>\n" );
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document.write( "        10x + 5y = 1250\r<BR>\n" );
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document.write( "         5x + 5y = 875  (subtract)\r<BR>\n" );
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document.write( "     --------------------<BR>\n" );
document.write( "          5x     = 375 <BR>\n" );
document.write( "           x     = 375/5 = 75\r<BR>\n" );
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document.write( "from equation 2\r<BR>\n" );
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document.write( "           y  = 175-x = 175 -75 = 100\r<BR>\n" );
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document.write( "The rate charged per hour by first mechanic is $75\r<BR>\n" );
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document.write( "The rate charged per hour by second mechanic is $100\r<BR>\n" );
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document.write( "             \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );