document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203850>Question 1203850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> https://ibb.co/YchRqNF </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839716 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Question: <BR>\n" );
document.write( "Members of a dancing club are asked which of four Latin dances they performed most recently. Their responses are summarized in the incomplete two-way relative frequency table below.<BR>\n" );
document.write( "What percent of the members are ages 31 to 50 and most recently danced the samba?\r<BR>\n" );
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document.write( "Table Provided<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD >Merengue</TD><TD >Bachata</TD><TD >Samba</TD><TD >Pasillo</TD><TD >Total</TD></tr><tr><TD >Ages 18 to 30</TD><TD >3%</TD><TD >18%</TD><TD >11%</TD><TD ></TD><TD ></TD></tr><tr><TD >Ages 31 to 50</TD><TD >7%</TD><TD >4%</TD><TD ></TD><TD >1%</TD><TD ></TD></tr><tr><TD >Ages 51 to 75</TD><TD ></TD><TD >10%</TD><TD >5%</TD><TD >7%</TD><TD >34%</TD></tr><tr><TD >Total</TD><TD ></TD><TD >32%</TD><TD ></TD><TD >17%</TD><TD >100%</TD></tr>\n" );
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document.write( "I'll write A,B,C,D,E,F,G in the 7 blanks as shown below.<BR>\n" );
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document.write( "<tr><TD ></TD><TD >Merengue</TD><TD >Bachata</TD><TD >Samba</TD><TD >Pasillo</TD><TD >Total</TD></tr><tr><TD >Ages 18 to 30</TD><TD >3%</TD><TD >18%</TD><TD >11%</TD><TD >A</TD><TD >B</TD></tr><tr><TD >Ages 31 to 50</TD><TD >7%</TD><TD >4%</TD><TD >C</TD><TD >1%</TD><TD >D</TD></tr><tr><TD >Ages 51 to 75</TD><TD >E</TD><TD >10%</TD><TD >5%</TD><TD >7%</TD><TD >34%</TD></tr><tr><TD >Total</TD><TD >F</TD><TD >32%</TD><TD >G</TD><TD >17%</TD><TD >100%</TD></tr>\n" );
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document.write( "It should be fairly clear that A or E is the best choice to start with.<BR>\n" );
document.write( "I'll go with E.\r<BR>\n" );
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document.write( "Along the third row, the percentages must add to 34%<BR>\n" );
document.write( "E+10+5+7 = 34<BR>\n" );
document.write( "E+22 = 34<BR>\n" );
document.write( "E = 34-22<BR>\n" );
document.write( "E = 12<BR>\n" );
document.write( "We'll replace E with 12%<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD >Merengue</TD><TD >Bachata</TD><TD >Samba</TD><TD >Pasillo</TD><TD >Total</TD></tr><tr><TD >Ages 18 to 30</TD><TD >3%</TD><TD >18%</TD><TD >11%</TD><TD >A</TD><TD >B</TD></tr><tr><TD >Ages 31 to 50</TD><TD >7%</TD><TD >4%</TD><TD >C</TD><TD >1%</TD><TD >D</TD></tr><tr><TD >Ages 51 to 75</TD><TD >12%</TD><TD >10%</TD><TD >5%</TD><TD >7%</TD><TD >34%</TD></tr><tr><TD >Total</TD><TD >F</TD><TD >32%</TD><TD >G</TD><TD >17%</TD><TD >100%</TD></tr>\n" );
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document.write( "Then add up the items in the first column<BR>\n" );
document.write( "3+7+12 = 22<BR>\n" );
document.write( "Therefore we replace F with 22%<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD >Merengue</TD><TD >Bachata</TD><TD >Samba</TD><TD >Pasillo</TD><TD >Total</TD></tr><tr><TD >Ages 18 to 30</TD><TD >3%</TD><TD >18%</TD><TD >11%</TD><TD >A</TD><TD >B</TD></tr><tr><TD >Ages 31 to 50</TD><TD >7%</TD><TD >4%</TD><TD >C</TD><TD >1%</TD><TD >D</TD></tr><tr><TD >Ages 51 to 75</TD><TD >12%</TD><TD >10%</TD><TD >5%</TD><TD >7%</TD><TD >34%</TD></tr><tr><TD >Total</TD><TD >22%</TD><TD >32%</TD><TD >G</TD><TD >17%</TD><TD >100%</TD></tr>\n" );
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document.write( "I'll let the student take over from here.<BR>\n" );
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