document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346965>Question 346965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A salesperson purchased an automobile that was advertised as averaging 25 mi/gal in the city and 40 mi/gal on the highway. A recent sales trip that covered 1800 miles required 51 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248123 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A recent sales trip that covered 1800 miles required 51 gallons of gasoline. <BR>\n" );
document.write( "Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?<BR>\n" );
document.write( "====<BR>\n" );
document.write( "Let x be the city miles.<BR>\n" );
document.write( "Then 1800-x are the highway miles.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "distance/miles per gallon = gallons<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "gallons + gallons = 51 gallons<BR>\n" );
document.write( "x/25 + (1800-x)/40 = 51 gallons<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply thru by 25*40 to get:<BR>\n" );
document.write( "40x + 25*1800 - 25x = 51*25*40<BR>\n" );
document.write( "15x = 6000<BR>\n" );
document.write( "x = 400 (miles of city driving)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );