document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021467>Question 1021467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 100 pieces of candy. More than 50 are cherry, the rest are grape. 2 pieces are picked simultaneously. The probability of drawing two pieces of the same flavor is the same as the probability of drawing 2 pieces of different flavors. How many cherry flavored pieces are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637228 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's say there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X ALIGN=MIDDLE  ALT=\"X\"   DISABLED_style= \"max-width:90%; height:auto;\" > cherry candies.<BR>\n" );
document.write( "Then there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100-X ALIGN=MIDDLE  ALT=\"100-X\"   DISABLED_style= \"max-width:90%; height:auto;\" > grape candies.<BR>\n" );
document.write( "The probability of choosing CC or GG is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%28CC%29%2BP%28GG%29 ALIGN=MIDDLE  ALT=\"P=P%28CC%29%2BP%28GG%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%28%28X%29%2F100%29%28%28X-1%29%2F99%29%2B%28%28100-X%29%2F100%29%28%2899-X%29%2F99%29%29 ALIGN=MIDDLE  ALT=\"P=%28%28X%29%2F100%29%28%28X-1%29%2F99%29%2B%28%28100-X%29%2F100%29%28%2899-X%29%2F99%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%28X%28X-1%29%2B%28100-X%29%2899-X%29%29%2F9900 ALIGN=MIDDLE  ALT=\"P=%28X%28X-1%29%2B%28100-X%29%2899-X%29%29%2F9900\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The probability of choosing CG or GC is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%28CG%29%2BP%28GC%29 ALIGN=MIDDLE  ALT=\"P=P%28CG%29%2BP%28GC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%28X%2F100%29%28%28100-X%29%2F99%29%2B%28100-X%29%2F100%29%28X%2F99%29 ALIGN=MIDDLE  ALT=\"P=%28X%2F100%29%28%28100-X%29%2F99%29%2B%28100-X%29%2F100%29%28X%2F99%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%282X%28100-X%29%29%2F9900 ALIGN=MIDDLE  ALT=\"P=%282X%28100-X%29%29%2F9900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then make them equal to each other,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%28X-1%29%2B%28100-X%29%2899-X%29=2X%28100-X%29 ALIGN=MIDDLE  ALT=\"X%28X-1%29%2B%28100-X%29%2899-X%29=2X%28100-X%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2-X%2B9900-199X%2BX%5E2=200X-2X%5E2 ALIGN=MIDDLE  ALT=\"X%5E2-X%2B9900-199X%2BX%5E2=200X-2X%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X%5E2-400X%2B9900=0 ALIGN=MIDDLE  ALT=\"4X%5E2-400X%2B9900=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2-100X%2B2475=0 ALIGN=MIDDLE  ALT=\"X%5E2-100X%2B2475=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X-55%29%28X-45%29=0 ALIGN=MIDDLE  ALT=\"%28X-55%29%28X-45%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions but the question stipulated <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%3E50 ALIGN=MIDDLE  ALT=\"X%3E50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=55 ALIGN=MIDDLE  ALT=\"X=55\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- Cherry<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100-X=45 ALIGN=MIDDLE  ALT=\"100-X=45\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- Grape<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );