document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085180>Question 1085180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In this problem , it is recommended that you use a tree diagram . The national sleep foundation found that 30% of people surveyed prefer a firm mattress while 70% prefer a soft one. Of the 30% who prefer firm mattress , 20% prefer serta, 30% prefer Klein and 50% prefer sleep number . Of the 70% who prefer soft , 25% prefer serta , 35% prefer Klein and 40% prefer sleep number . If a random mattress(soft or firm) is selected , calculate the percentage of people who select a Klein mattress.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699399 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's my worksheet.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/061904.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "top of the tree is mattress.\r<BR>\n" );
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document.write( "this gets split into 30% firm and 70% soft\r<BR>\n" );
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document.write( "firm gets split into 20% serta 30 klein 50% sleep number\r<BR>\n" );
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document.write( "soft gets split into 25% serta 35% klein 40% sleep number.\r<BR>\n" );
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document.write( "the ratio, or proportion in each branch is the ratio in each step of the branch multiplied by each other.\r<BR>\n" );
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document.write( "for example, ratio of serta in the firm branch is .3 * .2 = .06 and ratio of serta in the soft branch is .7 * .25= .175\r<BR>\n" );
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document.write( "the total ratio, or proportion, of serta is .06 + .175 = .235\r<BR>\n" );
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document.write( "likewise, the ratio, or proportion, of klein is .09 + .245 = .335\r<BR>\n" );
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document.write( "this means that 33.5% of the people selected a klein.\r<BR>\n" );
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document.write( "percent = (ratio or proportion) * 100\r<BR>\n" );
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document.write( "(ratio or proportion) = percent / 100\r<BR>\n" );
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document.write( ".335 ratio = 33.5%\r<BR>\n" );
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