document.write( "Question 106604: For a recent job, a plumber earned $28 per hour, adn the plumber's apprentice earned $15 per hour. The plumber worked 3 hours more htan the apprentice. If together they were paid $213, how much did each earn?\r
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document.write( "All I know is that I need to find an expression first for the number of hours each worked on the job, which would be something like (28x+3)+ 15x=213 ???
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document.write( "I'm really not sure, please help!
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #77593 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! You've got the right idea, but... \n" ); document.write( "Let x = the number of hours worked by the apprentice. \n" ); document.write( "The plumber worked 3 hours more than that, so the plumber workrked (x+3) hours. \n" ); document.write( "The plumber gets paid $28 per hour so he/she earns (x+3)($28) while the apprentice gets $15 per hour so he/she earns x($15). The sum of these earnings is $213. So here's the equation you need to solve for x: \n" ); document.write( "(x+3)($28) + x($15) = $213 Simplify and solve for x. \n" ); document.write( "28x + 84 + 15x = 213 Combine like-terms. \n" ); document.write( "43x + 84 = 213 Subtract 84 from both sides. \n" ); document.write( "43x = 129 Divide by 43 \n" ); document.write( "x = 3 This is the number of hours worked by the apprentice, and, at $15 per hour, he/she earns $45. \n" ); document.write( "The plumber works x+3 hours or 6 hours, and, at $28 per hour, earns $168 \n" ); document.write( " |