document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307073>Question 307073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jar contains 110 marbles of which 50 are red and 60 are green.  The probability of picking a red marble from the jar without looking is, therefore, 50/110.  How many red marbles must be added to the jar so that the probability of picking a red marble will be 2/3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219692 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=219692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you add x red marbles to the jar, then there will be <BR>\n" );
document.write( "50+x red marbles, and 110 + x total marbles.  If the final probability is to be 2/3, then solve this equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850%2Bx%29%2F%28110%2Bx%29+=+2%2F3 ALIGN=MIDDLE  ALT=\"%2850%2Bx%29%2F%28110%2Bx%29+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb=c%2Fd+ ALIGN=MIDDLE  ALT=\"a%2Fb=c%2Fd+\"   DISABLED_style= \"max-width:90%; height:auto;\" > means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ad=bc ALIGN=MIDDLE  ALT=\"ad=bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850%2Bx%29%2F%28110%2Bx%29=2%2F3 ALIGN=MIDDLE  ALT=\"%2850%2Bx%29%2F%28110%2Bx%29=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2850%2Bx%29=2%28110%2Bx%29 ALIGN=MIDDLE  ALT=\"3%2850%2Bx%29=2%28110%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150+%2B+3x=220%2B+2x ALIGN=MIDDLE  ALT=\"150+%2B+3x=220%2B+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 2x from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2Bx=+220 ALIGN=MIDDLE  ALT=\"150%2Bx=+220\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 150 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+70 ALIGN=MIDDLE  ALT=\"x=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:  You now have 50+70=120 red marbles, and 110 + 70= 180 total marbles.<BR>\n" );
document.write( "The probability of getting a red  marble is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F180=2%2F3 ALIGN=MIDDLE  ALT=\"120%2F180=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus </SPAN>\n" );
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