document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122087>Question 1122087</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Hotel A and Hotel B Had a total of 6500 guests. After 3/4 of the guests in Hotel a and 3/5 of the guests in hotel B checked out, there were 260 more guests In Hotel B than in hotel A. How many guests did Hotel A have at first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738145 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=738145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = no.of guests in Hotel A<BR>\n" );
document.write( "let b = no. of guests in Hotel B<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "Hotel A and Hotel B Had a total of 6500 guests.<BR>\n" );
document.write( "a + b = 6500<BR>\n" );
document.write( "b = (6500-a)<BR>\n" );
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document.write( " After 3/4 of the guests in Hotel a and 3/5 of the guests in hotel B checked out, there were 260 more guests In Hotel B than in hotel A.<BR>\n" );
document.write( "That means 2/5 in Hotel B and 1/4 in Hotel A remain<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >b - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >a = 260<BR>\n" );
document.write( "multiply equation by 20, cancel the denominators<BR>\n" );
document.write( "4(2b) - 5a = 260 * 20<BR>\n" );
document.write( "8b - 5a = 5200<BR>\n" );
document.write( "replace b with (6500-a)<BR>\n" );
document.write( "8(6500-a) - 5a = 5200<BR>\n" );
document.write( "52000 - 8a - 5a = 5200<BR>\n" );
document.write( "-13a = 5200 - 52000<BR>\n" );
document.write( "-13a = -46800<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-46800%29%2F%28-13%29 ALIGN=MIDDLE  ALT=\"%28-46800%29%2F%28-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 3600 guests originally in Hotel A<BR>\n" );
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document.write( ";<BR>\n" );
document.write( "Check; find the no. guests in B: 6500 - 2600 = 2900, (1/4) of 3600 = 900<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >*2900 = 1160<BR>\n" );
document.write( "1160 - 900 = 260\r<BR>\n" );
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document.write( " </SPAN>\n" );
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