document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113273>Question 1113273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a condo complex, 2/3 of the men were married to 3/4 of the women. What is the ratio of married people to the total adult population of the condo complex? Explain how you can obtain this ration without knowing the actual number of men or women.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728289 by </B><A HREF=/tutors/aboutme.mpl?userid=amalm06><B>amalm06(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amalm06><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=amalm06><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question does not have a unique solution. Suppose there are 30 men and 70 women. Then there are 20 married men and 42 married women. The ratio in question is 62/100. Expressed as a percentage, this turns out to be 63%.  If there are 60 men and 120 women, then the ratio in question, expressed as a percentage, turns out to be 72%. Since the percentage varies, the ratio must also vary. \r<BR>\n" );
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document.write( "Note: the answer is not wrong, since the problem does not specify any constraints.\r<BR>\n" );
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document.write( "If you assume only one man marries one woman, then the problem can be solved as follows:\r<BR>\n" );
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document.write( "Let x = # of men and y = # of women\r<BR>\n" );
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document.write( "Married men: (2/3)x\r<BR>\n" );
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document.write( "Married women: (3/4)y\r<BR>\n" );
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document.write( "Since there is a one-to-one correspondence between married men & married women, (2/3)x=(3/4)y\r<BR>\n" );
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document.write( "So that y=(8/9)x\r<BR>\n" );
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document.write( "Using substitution,\r<BR>\n" );
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document.write( "Married = (2/3)x+(3/4)(8/9)x = (4/3)x\r<BR>\n" );
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document.write( "Total population: x+(8/9)x=(17/9)x\r<BR>\n" );
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document.write( "Ratio in question: (4/3)/(17/9)= 12/17 (Answer) \r<BR>\n" );
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