document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180812>Question 180812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eleven groups of people were checking into a hotel. Group one made up 1/4 of the total number of people. Group two made up 2/6 of the total number of people. Group three made up 1/8 the total number of people. Group four made up 1/12 the total number of people. Group five made up 1/32 the total number of people. Group six made up 1/24 the total number of people. Group seven made up 1/16 the total number of people. Group eight made up 1/64 the total number of people. Group nine made up 1/64 the total number of people. Group ten made up 1/48 the total number of people. Group eleven consisted of 240 people. What was the total number of rooms needed if each room could be occupied by just one person? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135597 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=135597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Eleven groups of people were checking into a hotel. Group one made up 1/4 of the total number of people. Group two made up 2/6 of the total number of people. Group three made up 1/8 the total number of people. Group four made up 1/12 the total number of people. Group five made up 1/32 the total number of people. Group six made up 1/24 the total number of people. Group seven made up 1/16 the total number of people. Group eight made up 1/64 the total number of people. Group nine made up 1/64 the total number of people. Group ten made up 1/48 the total number of people. Group eleven consisted of 240 people. What was the total number of rooms needed if each room could be occupied by just one person?<BR>\n" );
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document.write( "let x = total number rooms required<BR>\n" );
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document.write( "<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;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F6 ALIGN=MIDDLE  ALT=\"2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F32 ALIGN=MIDDLE  ALT=\"1%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F24 ALIGN=MIDDLE  ALT=\"1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F16 ALIGN=MIDDLE  ALT=\"1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F64 ALIGN=MIDDLE  ALT=\"1%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F64 ALIGN=MIDDLE  ALT=\"1%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F48 ALIGN=MIDDLE  ALT=\"1%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 240 = x<BR>\n" );
document.write( "Find the least common multiple of 64 & 48<BR>\n" );
document.write( "64: 2*2*2*2*2*2<BR>\n" );
document.write( "48: 2*2*2*2*3<BR>\n" );
document.write( "2*2*2*2*2*2*3 = 192, multiply equation by the LCM to get rid of the denominators<BR>\n" );
document.write( "192*<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;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F6 ALIGN=MIDDLE  ALT=\"2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F32 ALIGN=MIDDLE  ALT=\"1%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F24 ALIGN=MIDDLE  ALT=\"1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F16 ALIGN=MIDDLE  ALT=\"1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F64 ALIGN=MIDDLE  ALT=\"1%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" >x +<BR>\n" );
document.write( " 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F64 ALIGN=MIDDLE  ALT=\"1%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F48 ALIGN=MIDDLE  ALT=\"1%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 192(240) = 192(x)<BR>\n" );
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document.write( "Results of canceling the denominators:<BR>\n" );
document.write( "48x + 32(2x) + 24x + 16x + 6x + 8x + 12x + 3x + 3x + 4x + 46080 = 192x<BR>\n" );
document.write( "48x + 64x + 24x + 16x + 6x + 8x + 12x + 3x + 3x + 4x + 46080 = 192x<BR>\n" );
document.write( "188x + 46080<BR>\n" );
document.write( "188x - 192x = -46080<BR>\n" );
document.write( "-6x = -46080<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-46080%29%2F%28-6%29 ALIGN=MIDDLE  ALT=\"%28-46080%29%2F%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 7,680 rooms required<BR>\n" );
document.write( ";<BR>\n" );
document.write( "A lot of math here, check my work.   </SPAN>\n" );
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