document.write( "Question 371294: Can you explain the correct way to work this systems of linear equations word problem out? Thanks! \r
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document.write( "Problem: A bricklayer begins work at 7 a.m., laying 170 bricks per hour. Two hours later his apprentice joins him and lays 80 bricks per hour. At what time will they have laid 965 bricks? \n" );
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Algebra.Com's Answer #264507 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Problem: A bricklayer begins work at 7 a.m., laying 170 bricks per hour. Two hours later his apprentice joins him and lays 80 bricks per hour. At what time will they have laid 965 bricks? \n" ); document.write( "---- \n" ); document.write( "Apprentice DATA: \n" ); document.write( "rate = 80 b/h ; time = x hrs ; work done = 80x bricks \n" ); document.write( "---------------------------------- \n" ); document.write( "Bricklayer DATA: \n" ); document.write( "rate = 170 b/h ; time = x+2; ; work done = 170(x+2) bricks \n" ); document.write( "------------------------- \n" ); document.write( "Equation: \n" ); document.write( "bricks + bricks = 965 bricks \n" ); document.write( "80x + 170(x+2) = 965 \n" ); document.write( "80x + 170x + 340 = 965 \n" ); document.write( "250x = 625 \n" ); document.write( "x = 2.5 hrs \n" ); document.write( "---- \n" ); document.write( "x+2 = 4.5 hrs \n" ); document.write( "---------------- \n" ); document.write( "Time: 7 am + 4.5 hrs = 11:30 am (time they finish the work) \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |