document.write( "Question 405789: the members of a flying club plan to share the cost of a $200,000 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 memebers are currently in the club? \n" ); document.write( "
Algebra.Com's Answer #286550 by stanbon(75887)\"\" \"About 
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the members of a flying club plan to share the cost of a $200,000 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 memebers are currently in the club?
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\n" ); document.write( "Original average cost for x members: 200,000/x
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\n" ); document.write( "New average cost for x+5 member: 200,000/(x+5)
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\n" ); document.write( "Equations:
\n" ); document.write( "old ave - new ave = 2000
\n" ); document.write( "---
\n" ); document.write( "200,000/x - 200,000/(x+5) = 2000
\n" ); document.write( "---
\n" ); document.write( "Divide thru by 2000 to get:
\n" ); document.write( "100/x - 100/(x+5) = 1
\n" ); document.write( "----
\n" ); document.write( "Multiply thru by x(x+5) to get:
\n" ); document.write( "100(x+5) - 100x = x(x+5)
\n" ); document.write( "500 = x^2+5x
\n" ); document.write( "---
\n" ); document.write( "Solve: x^2+5x-500 = 0
\n" ); document.write( "Factor: (x-20)(x+25) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 20 (original # of members)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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