document.write( "Question 507794: A number of people bought a 300-hectare farm which they shared equally. if the number of hectares per person was 5 less than their number,find the number of people? \n" ); document.write( "
Algebra.Com's Answer #340761 by Earlsdon(6294)\"\" \"About 
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Let the number of people be n.
\n" ); document.write( "\"300%2Fn+=+n-5\" \"...the number of hectares per person (\"300%2Fn\") was 5 less than the number of persons (n-5).\" Multiply both sides by n.
\n" ); document.write( "\"300+=+n%5E2-5n\" Subtract 300 from both sides and rearrange as:
\n" ); document.write( "\"n%5E2-5n-300+=+0\" Solve by factoring.
\n" ); document.write( "\"%28n%2B15%29%28n-20%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"n%2B15+=+0\" or \"n-20+=+0\" so that...
\n" ); document.write( "\"n+=+-15\" or \"n+=+20\" Discard the negative solution as number of people can't be negative.
\n" ); document.write( "The number of people is 20.
\n" ); document.write( "Check:
\n" ); document.write( "\"300%2F20+=+20-5\"
\n" ); document.write( "\"15+=+15\" OK
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