document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=839002>Question 839002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1750  . What was the rate charged per hour by each mechanic if the sum of the two rates was $160 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 #505482 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount charged by 1st mechanic<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount charged by 2nd mechanic<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2F15+ ALIGN=MIDDLE  ALT=\"+a%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate for the 1st mechanic<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%2F5+ ALIGN=MIDDLE  ALT=\"+b%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate for the 2nd mechanic<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+1750+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+1750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2F15+%2B+b%2F5+=+160%2F1+ ALIGN=MIDDLE  ALT=\"+a%2F15+%2B+b%2F5+=+160%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  dollars/hr<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15+ ALIGN=MIDDLE  ALT=\"+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+3b+=+2400+ ALIGN=MIDDLE  ALT=\"+a+%2B+3b+=+2400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+3b+=+2400+ ALIGN=MIDDLE  ALT=\"+a+%2B+3b+=+2400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-a+-+b+=+-1750+ ALIGN=MIDDLE  ALT=\"+-a+-+b+=+-1750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b+=+650+ ALIGN=MIDDLE  ALT=\"+2b+=+650+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+325+ ALIGN=MIDDLE  ALT=\"+b+=+325+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+1750+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+1750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1750+-+b+ ALIGN=MIDDLE  ALT=\"+a+=+1750+-+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1425+ ALIGN=MIDDLE  ALT=\"+a+=+1425+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The 1st mechanic's rate is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1425%2F15+=+95+ ALIGN=MIDDLE  ALT=\"+1425%2F15+=+95+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$95/hr<BR>\n" );
document.write( "The 2nd mechanic's rate is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+325%2F5+=+65+ ALIGN=MIDDLE  ALT=\"+325%2F5+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$65/hr<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+1750+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+1750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1425+%2B+325+=+1750+ ALIGN=MIDDLE  ALT=\"+1425+%2B+325+=+1750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1750+=+1750+ ALIGN=MIDDLE  ALT=\"+1750+=+1750+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );