document.write( "Question 1189722: 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 $1875.
\n" ); document.write( "What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour?
\n" ); document.write( "

Algebra.Com's Answer #821163 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours.
\n" ); document.write( "Together they charged a total of $1875.
\n" ); document.write( "What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let x be the rate of the first mechanic.\r\n" );
document.write( "Then the rate of the second mechanic is (165 - x) dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The \"total money\" equation is\r\n" );
document.write( "\r\n" );
document.write( "    15x + 5*(165-x) = 1875  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for x:\r\n" );
document.write( "\r\n" );
document.write( "    15x + 825 - 5x = 1875  ====>\r\n" );
document.write( "\r\n" );
document.write( "    10x = 1875 - 825 = 1050  ====>  x = \"1050%2F10\" = 105.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the first mechanic's rate is $105 per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the second mechanic's rate is $165 - $105 = $60 per hour.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );