document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764435>Question 764435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two mechanics work on a care.  The first mechanice for 20 hours the second mechanic for 5 hours.  Together they charged $1650.  what was the total charge of the two mechanics if together they charged $135.\r<BR>\n" );
document.write( "\n" );
document.write( "First mechanic per hour<BR>\n" );
document.write( "second mechanic 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 #465432 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=465432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem description and question need to be adjusted to be precise and more sensible.  Here is what they should be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The first mechanic worked on a car for 20 hours and the second mechanic for 5 hours.  Together they charged $1650.  What was the rate of price per hour of each mechanic if their rates when added together are $135?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note, the time amounts that each mechanic worked do not come with an indication that they worked at the same time; only that each mechanic worked for a different amount of time.  The question I interpreted is, what does each mechanic separately charge?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let m = rate per hour for one mechanic<BR>\n" );
document.write( "Let n = rate per hour for the other mechanic\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We can make two equations.<BR>\n" );
document.write( "Account for their rates:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m%2Bn=135%29 ALIGN=MIDDLE  ALT=\"highlight%28m%2Bn=135%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Account for total charge:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2820m%2B5n=1650%29 ALIGN=MIDDLE  ALT=\"highlight%2820m%2B5n=1650%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The total charge equation can be divided by 5 to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4m%2Bn=330 ALIGN=MIDDLE  ALT=\"4m%2Bn=330\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then you can choose any reasonable way to solve the system for m and n. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );