document.write( "Question 205411: The members of a flying club plan to share
\n" ); document.write( "equally the cost of a $200,000 airplane. The members
\n" ); document.write( "want to find five more people to join the club so that the
\n" ); document.write( "cost per person will decrease by $2000. How many members
\n" ); document.write( "are currently in the club?
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Algebra.Com's Answer #155051 by ankor@dixie-net.com(22740)\"\" \"About 
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The members of a flying club plan to share equally the cost of a $200,000 airplane.
\n" ); document.write( " The members want to find five more people to join the club so that the
\n" ); document.write( "cost per person will decrease by $2000.
\n" ); document.write( " How many members are currently in the club?
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\n" ); document.write( "Let x = no. of members in the club
\n" ); document.write( "then
\n" ); document.write( "(x+5) = no. of members when 5 more join
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\n" ); document.write( "Do the problem in 1000's of dollars to reduce typing 0's
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\n" ); document.write( "Cost per member now: \"200%2Fx\"
\n" ); document.write( "Cost per member later: \"200%2F%28%28x%2B5%29%29\"
\n" ); document.write( ":
\n" ); document.write( "the equation:
\n" ); document.write( "\"200%2Fx\" - 2 = \"200%2F%28%28x%2B5%29%29\"
\n" ); document.write( "Multiply by x(x+5)
\n" ); document.write( "x(x+5)*\"200%2Fx\" - 2x(x+5) = x(x+5)*\"200%2F%28%28x%2B5%29%29\"
\n" ); document.write( "cancel out the denominators
\n" ); document.write( "200(x+5) - 2x^2 - 10x = 200x
\n" ); document.write( ":
\n" ); document.write( "200x + 1000 - 2x^2 - 10x = 200x
\n" ); document.write( "Arrange as a quadratic eq on the right
\n" ); document.write( "0 = 2x^2 + 10x + 200x - 200x - 1000
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\n" ); document.write( "2x^2 + 10x - 1000 = 0
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "x^2 + 5x - 500 = 0
\n" ); document.write( "Factor to:
\n" ); document.write( "(x+25)(x-20) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 20 members now.
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\n" ); document.write( "Check solution:
\n" ); document.write( "200/20 = 10
\n" ); document.write( "200/25 = 8
\n" ); document.write( "-------------
\n" ); document.write( "differ = 2 thousand dollars\r
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