document.write( "Question 476235: To determine the number of deer in a game reserve, a forest ranger catchers 127 deer, tags them and releases them. Later 189 deer are caught and it is found that 82 of them are tagged. Estimate how many deer are in the game reserve and round the answer to the nearest interger. I got 293 but I don't think it's right, please assist. \n" ); document.write( "
Algebra.Com's Answer #326553 by ccs2011(207)\"\" \"About 
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The assumption is that the 189 deer represent a random sample of the entire reserve so the proportion of tagged deer in the sample will represent the proportion of tagged deer in the reserve.
\n" ); document.write( "The proportion for sample is \"82%2F189\"
\n" ); document.write( "The proportion for reserve is \"127%2Fx\"
\n" ); document.write( "where x is the estimate of deer in entire reserve
\n" ); document.write( "set them equal to each other
\n" ); document.write( "\"82%2F189+=+127%2Fx\"
\n" ); document.write( "Multiply by x on both sides
\n" ); document.write( "\"%2882%2F189%29%2Ax+=+127\"
\n" ); document.write( "Multiply by reciprocal of left side
\n" ); document.write( "\"%28189%2F82%29%2882%2F189%29%2Ax+=+127%2A%28189%2F82%29\"
\n" ); document.write( "\"x+=+%28127%2A189%29%2F82\"
\n" ); document.write( "\"x+=+292.72\"
\n" ); document.write( "Therefore, you are correct there is about 293 deer.
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