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.
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document.write( "What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour? \n" );
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Algebra.Com's Answer #821163 by ikleyn(52787)![]() ![]() 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 =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |