document.write( "Question 309438: I got this equation so far for this problem but I am at a loss on how to solve it. Here is the word problem:\r
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document.write( "Your business has the copy machine break down. After having it repaired, you receive a bill for a total of $140 for 8 hours of work. The bill is itemized to show that the full-time mechanic was paid $50 and the part-time mechanic was paid $90. There was more than one thing wrong and you opted to have the easy thing fixed by the parttime mechanic who earns $10 less per hour than the full-time mechanic. How many hours did each worker spend fixing the copier?
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document.write( "My equation began with fulltime xt=50 and parttime (x-10)(8t)=90.\r
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document.write( "How do I solve this equation? \n" );
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Algebra.Com's Answer #221336 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! a+b=8 \n" ); document.write( "a=8-b \n" ); document.write( "x*a+y*b=140 \n" ); document.write( "a*x=90 \n" ); document.write( "b*y=50 \n" ); document.write( "y=50/b \n" ); document.write( "x=y-10 \n" ); document.write( "x*a+y*b=140 \n" ); document.write( "(50/b-10)(8-b)+50=140 \n" ); document.write( "b=2 \n" ); document.write( "b=20 \n" ); document.write( "a+20=8 \n" ); document.write( "a=-12 discard \n" ); document.write( "b=20 discard \n" ); document.write( "a+2=8 \n" ); document.write( "a=6 \n" ); document.write( "a = 6, b = 2, x = 15, y = 25 \n" ); document.write( " \n" ); document.write( " |