SOLUTION: 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 d

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Question 224377: 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?

I cannot figure this one out...I know that the current number of members = x and then the new number of members would be x+5. How do I solve for x?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
200000 / x = [200000 / (x+5)] + 2000

multiplying by x(x+5) ___ 200000x + 1000000 = 200000x + 2000x^2 + 10000x

dividing by 2000 ___ 100x + 500 = 100x + x^2 + 5x

subtracting 100x + 500 ___ 0 = x^2 + 5x - 500

factoring ___ 0 = (x+25)(x-20)

negative value not realistic, so x = 20