document.write( "Question 146063This question is from textbook
\n" ); document.write( ": The members of a flying club plan to share equally 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 members are currently in the club? \n" ); document.write( "
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The members of a flying club plan to share equally 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 members are currently in the club?
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\n" ); document.write( "Let x = number of members currently in the club
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\n" ); document.write( "Current cost per member:
\n" ); document.write( "200000/x
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\n" ); document.write( "If you added 5 new members, then the cost per member is:
\n" ); document.write( "200000/(x+5)
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\n" ); document.write( "your equation:
\n" ); document.write( "[200000/x] - [200000/(x+5)] = 2000
\n" ); document.write( "solving for x will yield your answer
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\n" ); document.write( "[200000/x] - [200000/(x+5)] = 2000
\n" ); document.write( "200000(x+5) - 200000(x) = 2000(x+5)(x)
\n" ); document.write( "200000x + 1000000 - 200000x = (2000x + 10000)(x)
\n" ); document.write( "1000000 = 2000x^2 + 10000x
\n" ); document.write( "0 = 2000x^2 + 10000x - 1000000
\n" ); document.write( "0 = x^2 + 5x - 500
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\n" ); document.write( "factoring:
\n" ); document.write( "(x+20)(x-25)
\n" ); document.write( "Since you can't have \"negative\" members, the solution must be: 20
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