document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016573>Question 1016573</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( "$1500<BR>\n" );
document.write( " lower than in the first. The tax in the first city was <BR>\n" );
document.write( "8.5%<BR>\n" );
document.write( ", and the tax in the second city was <BR>\n" );
document.write( "8%<BR>\n" );
document.write( ". The total hotel tax paid for the two cities was <BR>\n" );
document.write( "$457.50<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 #633079 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=633079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A theater group made appearances in two cities.<BR>\n" );
document.write( " The hotel charge before tax in the second city was $1500 lower than in the first.<BR>\n" );
document.write( " The tax in the first city was 8.5%, and the tax in the second city was 8%.<BR>\n" );
document.write( " The total hotel tax paid for the two cities was $457.50.<BR>\n" );
document.write( " How much was the hotel charge in each city before tax?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = hotel charge for the 1st city<BR>\n" );
document.write( "The 2nd city was $1500 lower, therefore<BR>\n" );
document.write( "(a-1500) = hotel charge for 2nd city<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1st Hotel tax + 2nd Hotel tax = 457.50<BR>\n" );
document.write( " .085a + .08(a-1500) = 457.50<BR>\n" );
document.write( " .085a + .08a - 120 = 457.50<BR>\n" );
document.write( " .165a = 457.50 + 120<BR>\n" );
document.write( " .165a = 577.50<BR>\n" );
document.write( "a = 577.50/.165<BR>\n" );
document.write( "a = $3500 charge for the 1st hotel before tax<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3500 - 1500 = $2000 charge for the 2nd hotel<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this solution, find the actual tax on each, find their sum.<BR>\n" );
document.write( ".085(3500) = 297.50<BR>\n" );
document.write( ".08(2000)  = 160.00<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Total tax: 457.50 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );