document.write( "Question 178713: Please help.
\n" ); document.write( "the members of a flying club plan to share equally the cost of a $20,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club. \n" ); document.write( "

Algebra.Com's Answer #133685 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"m\"$ = current number of members in club
\n" ); document.write( "The present cost/person is
\n" ); document.write( " $\"20000%2Fm\"$
\n" ); document.write( "If 5 more join,
\n" ); document.write( " $\"20000%2F%28m%2B5%29\"$ will be the cost /person
\n" ); document.write( "given:
\n" ); document.write( " $\"20000%2F%28m%2B5%29+=+20000%2Fm+-+2000\"$
\n" ); document.write( "Multiply both sides by $\"m%2A%28m%2B5%29\"$
\n" ); document.write( " $\"20000m+=+20000%2A%28m%2B5%29+-+2000%2Am%2A%28m%2B5%29\"$
\n" ); document.write( " $\"20000m+=+20000m+%2B+100000+-+2000m%5E2+-+10000m\"$
\n" ); document.write( " $\"2000m%5E2+%2B+10000m+-+100000+=+0\"$
\n" ); document.write( "Divide both sides by $\"2000\"$
\n" ); document.write( " $\"m%5E2+%2B+5m+-+50+=+0\"$
\n" ); document.write( " $\"%28m+%2B+10%29%28m+-+5%29+=+0\"$
\n" ); document.write( " $\"m+=+5\"$
\n" ); document.write( "and
\n" ); document.write( " $\"m+=+-10\"$ (answer can't be negative)
\n" ); document.write( "There are currently 5 members in the club
\n" ); document.write( "check:
\n" ); document.write( " $\"20000%2F%28m%2B5%29+=+20000%2Fm+-+2000\"$
\n" ); document.write( " $\"20000%2F%285%2B5%29+=+20000%2F5+-+2000\"$
\n" ); document.write( " $\"2000+=+4000+-+2000\"$
\n" ); document.write( " $\"2000+=+2000\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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