document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=875796>Question 875796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> : A farmer wants to know how many fish there are in his dam. He took out 200 fish and tagged each of them, with a coloured sign. He put the tagged fish back in the dam and let them get mixed with the others.  On the second day, he took out 250 fish in a random manner, and found that 25 of them were tagged. Estimate how many fish are in the dam.<BR>\n" );
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document.write( "450<BR>\n" );
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document.write( "800<BR>\n" );
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document.write( "2000<BR>\n" );
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document.write( "2175 I did this but it is wrong <BR>\n" );
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document.write( "4500<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528422 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=528422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two equal ratios, a proportion.\r<BR>\n" );
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document.write( "Let p = the dam population.<BR>\n" );
document.write( "200 fish were tagged.  This gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2F200 ALIGN=MIDDLE  ALT=\"p%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" > total/tagged.\r<BR>\n" );
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document.write( "The recheck was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2F25 ALIGN=MIDDLE  ALT=\"250%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > total/tagged.\r<BR>\n" );
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document.write( "The proportion is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p%2F200=250%2F25%29 ALIGN=MIDDLE  ALT=\"highlight%28p%2F200=250%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; solve for p.\r<BR>\n" );
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document.write( "<b>\"Not make sense...\", the explanation.</b><BR>\n" );
document.write( "After tagging the fish, the dam contains p fish, and 200 of them are tagged.  This is a ratio of p/200, and the units of this ratio are Total Fish to Tagged Fish.<BR>\n" );
document.write( "Upon catching fish to recheck what happened, 250 fish were caught and the number of fish found with tags was 25 fish.  This ratio is 250/25 and the units for this is Fish to Tagged fish.  <BR>\n" );
document.write( "THESE RATIOS ARE EXPECTED TO BE EQUAL.  This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2F200=250%2F25 ALIGN=MIDDLE  ALT=\"p%2F200=250%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The original collection of tagged fish put into the dam became uniformly diluted, hypothetically.  Solve for p. </SPAN>\n" );
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