document.write( "Question 31223: On January 1, A group of scientist tagged 500 fish and returned them back to the lake. The group returned on February 1, and retrieved 400 fish. Of those 400, 8 of which were already tagged. How many fish are in the lake? \n" ); document.write( "
Algebra.Com's Answer #17923 by mbarugel(146)\"\" \"About 
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\n" ); document.write( "When they returned on Fenruary 1, they found that 8 out of 400 fish were tagged. Therefore, a good estimate would be to say that, in the lake, 8 out of every 400 fish are tagged. Or equivalently (\"8%2F400%2A100+=+2\") 2% of all the fish in the lake are tagged.\r
\n" ); document.write( "\n" ); document.write( "We know that 2% of all the fish in the lake are tagged. We also know that 500 fish are tagged. So we conclude that 500 is 2% of the total number of fish in the lake. So, calling X to the total number of fish, we have the equation:\r
\n" ); document.write( "\n" ); document.write( "\"%282%2F100%29X+=+500\"
\n" ); document.write( "Solving for X:
\n" ); document.write( "\"X+=+500%2A%28100%2F2%29+=+25000\"\r
\n" ); document.write( "\n" ); document.write( "Hence there are 25,000 fish in the lake.\r
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\n" ); document.write( "\n" ); document.write( "I hope this helps!
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