document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012932>Question 1012932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 1850. What was the rate charged per hour by each mechanic if the sum of the two rates was 160 per hour? </SPAN>\n" );
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document.write( "F=hourly rate for first mechanic; S=hourly rate for second mechanic<BR>\n" );
document.write( ".<BR>\n" );
document.write( "F+S=160<BR>\n" );
document.write( "F=160-S<BR>\n" );
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document.write( "5F+15S=1850<BR>\n" );
document.write( "5(160-S)+15S=1850<BR>\n" );
document.write( "800-5S+15S=1850<BR>\n" );
document.write( "10S=1050<BR>\n" );
document.write( "S=105<BR>\n" );
document.write( "ANSWER 1: The second mechanic charged 105 per hour.<BR>\n" );
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document.write( "F=160-F=160-105=55<BR>\n" );
document.write( "ANSWER 2: The first mechanic charged 55 per hour.<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "5F+15S=1850<BR>\n" );
document.write( "5(55)+15(105)=1850<BR>\n" );
document.write( "275+1575=1850<BR>\n" );
document.write( "1850=1850<BR>\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );