document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074137>Question 1074137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A theater group made appearances in two cities. The hotel charge before tax in the second city was <BR>\n" );
document.write( "$500<BR>\n" );
document.write( " higher than in the first. The tax in the first city was <BR>\n" );
document.write( "6.5%<BR>\n" );
document.write( ", and the tax in the second city was <BR>\n" );
document.write( "3%<BR>\n" );
document.write( ". The total hotel tax paid for the two cities was <BR>\n" );
document.write( "$513.75<BR>\n" );
document.write( ". How much was the hotel charge in each city before tax?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688872 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the amount before tax at the first hotel be x<BR>\n" );
document.write( "The amount at the second hotel will be x+500<BR>\n" );
document.write( ":<BR>\n" );
document.write( "0.065x+0.03(x+500) = 513.75<BR>\n" );
document.write( "0.065x+0.03x+15 = 513.75<BR>\n" );
document.write( "0.095x = 498.75<BR>\n" );
document.write( "x = 5,250 this is for the first hotel.<BR>\n" );
document.write( "The second hotel: 5,250+500 = 5,750<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "1st city: 5,250*0.065 = 341.25<BR>\n" );
document.write( "2nd city: 5,750*0.03 = 172.50<BR>\n" );
document.write( ". . . . . . . Total . : 513.75 Correct </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );