document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978616>Question 978616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jar has 54 pieces of candy consisting of 2 types: peppermint and caramel.  The probability of randomly picking a peppermint candy is twice as high as picking a caramel.  How many pieces of caramel candy needs to be added to the jar so that the probability of picking a peppermint candy becomes 3/5?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599992 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=599992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=caramel<BR>\n" );
document.write( "2x=peppermint<BR>\n" );
document.write( "Those are probabilities.<BR>\n" );
document.write( "There are 36 peppermint and 18 caramel (54 total).  3x=54, x=18; 2x=36.\r<BR>\n" );
document.write( "\n" );
document.write( "I will now add a pieces of caramel until the fraction of peppermint is now\r<BR>\n" );
document.write( "\n" );
document.write( "18+a/54+a will be 2/5, since if the probability of peppermint is 3/5, caramel will be 2/5.<BR>\n" );
document.write( "Cross multiply:  2(54+a)=5(18+a)<BR>\n" );
document.write( "108+2a=90+5a<BR>\n" );
document.write( "18=3a<BR>\n" );
document.write( "6=a\r<BR>\n" );
document.write( "\n" );
document.write( "add 6 pieces of caramel, and total is 60.<BR>\n" );
document.write( "36 are peppermint.<BR>\n" );
document.write( "That is 3/5. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );