document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141654>Question 1141654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two mechanics worked on a car. The first mechanic worked for <BR>\n" );
document.write( "5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1150. What was the rate charged per hour by each mechanic if the sum of the two rates was $120 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 #762237 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two mechanics worked on a car.<BR>\n" );
document.write( " The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours.<BR>\n" );
document.write( " Together they charged a total of $1150.<BR>\n" );
document.write( " What was the rate charged per hour by each mechanic if the sum of the two rates was $120 per hour?<BR>\n" );
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document.write( "let a = amt charged by the 1st mechanic (per hr)<BR>\n" );
document.write( "let b = amt charged by the 2nd<BR>\n" );
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document.write( "\"Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1150.\"<BR>\n" );
document.write( "5a + 15b = 1150<BR>\n" );
document.write( "\" What was the rate charged per hour by each mechanic if the sum of the two rates was $120 per hour? \"<BR>\n" );
document.write( "a + b = 120<BR>\n" );
document.write( "multiply by 5, subtract from the 1st equation<BR>\n" );
document.write( "5a + 15b = 1150<BR>\n" );
document.write( "5a + 5b = 600<BR>\n" );
document.write( "----------------subtraction eliminates a, find b<BR>\n" );
document.write( "0 + 10b = 550<BR>\n" );
document.write( "b = 550/10<BR>\n" );
document.write( "b = $55 per hr, the 2nd mechanic<BR>\n" );
document.write( "then<BR>\n" );
document.write( "120 - 55 = $65, the 1st mechanic <BR>\n" );
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document.write( "Check, find the total amt each charged<BR>\n" );
document.write( "5(65) = $325<BR>\n" );
document.write( "15(55)= $825<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Total: $1150 </SPAN>\n" );
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