document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619971>Question 619971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> fix it fast plumbing charges $25 for a house call and $50 for each hour spent on the job. do it right plumbing charges $35 for a house call and $45 for each hour spent on the job.  how many hours must be spent on the job in order for the charges of the two plumbingcompanies to be equal?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389869 by </B><A HREF=/tutors/aboutme.mpl?userid=dragonwalker><B>dragonwalker(73)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dragonwalker><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let us call the number of hours on the job as 'h'\r<BR>\n" );
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document.write( "For each company the cost of a job is the initial house call fee plus the hourly fee multiplied by the number of hours on the job.<BR>\n" );
document.write( "For Fif the cost of a job can be written as 25 + 50h<BR>\n" );
document.write( "For DiR the cost of a job can be written as 35 + 45h\r<BR>\n" );
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document.write( "For each fee to be equal we can write it as follows:\r<BR>\n" );
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document.write( "25 + 50h = 35 + 45h\r<BR>\n" );
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document.write( "rearrange, remembering to change the sign if the value moves to the other side of the equation:\r<BR>\n" );
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document.write( "50h - 45h = 35 - 25\r<BR>\n" );
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document.write( "5h = 10\r<BR>\n" );
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document.write( "solve for h by dividing both sides by 5:<BR>\n" );
document.write( "5h/5 = 10/5\r<BR>\n" );
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document.write( "h=2<BR>\n" );
document.write( "so the number of hours on a job for the cost to be the same is 2 hours.\r<BR>\n" );
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document.write( "To check we can substitute the value of h into the equations for each company and see if they are the same:<BR>\n" );
document.write( "For Fif the cost of a job can be written as 25 + 50h = 25 + 2(50) = 125!!!<BR>\n" );
document.write( "For DiR the cost of a job can be written as 35 + 45h = 35 + 2(45) = 125!!! </SPAN>\n" );
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