document.write( "Question 146667This question is from textbook
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document.write( ": Please help me solve this word problem:
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document.write( "An electrician, a carpenter, and a plumber are hired to work on a house. The electrician earns $21 per hour, the carpenter $19.50 per hour, and the plumber $24 per hour. The first day on the job, they worked a total of 21.5 hr and earned a total of $469.50. If the plumber worked 2 more hours than the carpenter did, how many hours did each work? \n" );
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Algebra.Com's Answer #107090 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! E = hours of electrician \n" ); document.write( "C = carpenter \n" ); document.write( "P = plumber\r \n" ); document.write( "\n" ); document.write( "21E + 19.5C + 24P = 469.5 \n" ); document.write( "P = C + 2 \n" ); document.write( "E + P + C = 21.5 \n" ); document.write( "Substitute \n" ); document.write( "E + (C+2) + C = 21.5 \n" ); document.write( "E + 2C = 19.5 \n" ); document.write( "Sub again \n" ); document.write( "21E + 19.5C + 24(C+2) = 469.5 \n" ); document.write( "21E + 43.5C = 421.5 \n" ); document.write( "42E + 87C = 843 \n" ); document.write( "14E + 29C = 281 \n" ); document.write( "E = 19.5 - 2C \n" ); document.write( "Sub again for E \n" ); document.write( "14(19.5 - 2C) + 29C = 281 \n" ); document.write( "273 - 28C + 29C = 281 \n" ); document.write( "C = 8 \n" ); document.write( "P = 10 \n" ); document.write( "E = 3.5 \n" ); document.write( "Check - 8*$19.50 + 10*$24 + 3.5*$21 = $469.50\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |