document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962943>Question 962943</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( "15<BR>\n" );
document.write( " hours. Together they charged a total of <BR>\n" );
document.write( "$2450<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( "$185<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 #588323 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=588323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the rate for the first mechanic and y be the rate for the second mechanic, then<BR>\n" );
document.write( "x + y = 185<BR>\n" );
document.write( "10x + 15y = 2450<BR>\n" );
document.write( "solve first equation for x and substitute for x in the second equation<BR>\n" );
document.write( "10(185-y) +15y = 2450<BR>\n" );
document.write( "1850 -10y +15y = 2450<BR>\n" );
document.write( "5y = 600<BR>\n" );
document.write( "y = 120<BR>\n" );
document.write( "x = 65<BR>\n" );
document.write( "therefore,<BR>\n" );
document.write( "the rate for the first mechanic is $65/hour and the rate for the second mechanic is $120/hour<BR>\n" );
document.write( "**************************************<BR>\n" );
document.write( "to check our answer substitute for x and y in the second equation<BR>\n" );
document.write( "10*65 + 15*120 = 2450<BR>\n" );
document.write( "650 + 1800 = 2450<BR>\n" );
document.write( "2450 = 2450<BR>\n" );
document.write( "our answer checks\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );