document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158653>Question 1158653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. De Guzman gave her class sandwiches and cupcakes in a ratio of 5:1. If the number of students in her class is between 18 and 30<BR>\n" );
document.write( ", how many students received  sandwiches if each student received either sandwich or cupcake but not both? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781600 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What numbers whose sum is between<BR>\n" );
document.write( "18 and 30 are in that exact ratio?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+6%2F6+%29%2A%28+5%2F1+%29+=+30%2F6+ ALIGN=MIDDLE  ALT=\"+%28+6%2F6+%29%2A%28+5%2F1+%29+=+30%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+%2B+6+=+36+ ALIGN=MIDDLE  ALT=\"+30+%2B+6+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > doesn't work<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+5%2F5+%29%2A%28+5%2F1+%29+=+25%2F5+ ALIGN=MIDDLE  ALT=\"+%28+5%2F5+%29%2A%28+5%2F1+%29+=+25%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25+%2B+5+=+30+ ALIGN=MIDDLE  ALT=\"+25+%2B+5+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > this would work<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+4%2F4%29%2A%28+5%2F1+%29+=+20%2F4+ ALIGN=MIDDLE  ALT=\"+%28+4%2F4%29%2A%28+5%2F1+%29+=+20%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+%2B+4+=+24+ ALIGN=MIDDLE  ALT=\"+20+%2B+4+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > this would work<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+3%2F3+%29%2A%28+5%2F1+%29+=+15%2F3+ ALIGN=MIDDLE  ALT=\"+%28+3%2F3+%29%2A%28+5%2F1+%29+=+15%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15+%2B+3+=+18+ ALIGN=MIDDLE  ALT=\"+15+%2B+3+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" > this would work<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F2+%29%2A%28+5%2F1+%29+=+10%2F2+ ALIGN=MIDDLE  ALT=\"+2%2F2+%29%2A%28+5%2F1+%29+=+10%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+%2B+2+=+12+ ALIGN=MIDDLE  ALT=\"+10+%2B+2+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > doesn't work<BR>\n" );
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document.write( "There are 3 possible answers<BR>\n" );
document.write( "(1)<BR>\n" );
document.write( "25 sandwiches<BR>\n" );
document.write( "5 cupcakes<BR>\n" );
document.write( "If there are 30 students<BR>\n" );
document.write( "(2)<BR>\n" );
document.write( "20 sandwiches<BR>\n" );
document.write( "4 cupcakes<BR>\n" );
document.write( "If there are 24 students<BR>\n" );
document.write( "(3)<BR>\n" );
document.write( "15 sandwiches<BR>\n" );
document.write( "3 cupcakes<BR>\n" );
document.write( "If there are 18 students<BR>\n" );
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document.write( "Any other number of students will<BR>\n" );
document.write( "not make the exact 5:1 ratio possible\r<BR>\n" );
document.write( "\n" );
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document.write( "</TD></TR></TABLE>\n" );