document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253119>Question 253119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an experienced plumber made $600 for working on a certain job. his apprentice, who makes $3 per hour less, also made $600. however, the apprentice worked 10 h more than the plumber. how much does the plumber make per hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185361 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an experienced plumber made $600 for working on a certain job.<BR>\n" );
document.write( " his apprentice, who makes $3 per hour less, also made $600. <BR>\n" );
document.write( "however, the apprentice worked 10 h more than the plumber. <BR>\n" );
document.write( "how much does the plumber make per hour?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = amt per hour made by the plumber<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-3) = amt made by the apprentice<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F%28hourly+pay%29 ALIGN=MIDDLE  ALT=\"600%2F%28hourly+pay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Plumbers time = Appren time - 10 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2Fx ALIGN=MIDDLE  ALT=\"600%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"600%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 10<BR>\n" );
document.write( "Multiply equation by x(x-3); results<BR>\n" );
document.write( "600(x-3) = 600x - 10x(x-3)<BR>\n" );
document.write( "600x - 1800 = 600x - 10x^2 + 30x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combine on the left to form a quadratic equation<BR>\n" );
document.write( "10x^2 - 30x + 600x - 600x - 1800 = 0<BR>\n" );
document.write( "10x^2 - 30x - 1800 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "simplify, divide by 10<BR>\n" );
document.write( "x^2 - 3x - 180 = 0<BR>\n" );
document.write( "Factors<BR>\n" );
document.write( "(x - 15)(x + 12) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = $15 per hr for the plumber<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the time of each<BR>\n" );
document.write( "600/15 = 40 hrs<BR>\n" );
document.write( "600/12 = 50 hrs, apprentice worked 10 hrs more <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );