SOLUTION: 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
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? Found 2 solutions by jim_thompson5910, stanbon:Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! 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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Original average cost for x members: 200,000/x
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New average cost for x+5 member: 200,000/(x+5)
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Equations:
old ave - new ave = 2000
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200,000/x - 200,000/(x+5) = 2000
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Divide thru by 2000 to get:
100/x - 100/(x+5) = 1
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Multiply thru by x(x+5) to get:
100(x+5) - 100x = x(x+5)
500 = x^2+5x
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Solve: x^2+5x-500 = 0
Factor: (x-20)(x+25) = 0
Positive solution:
x = 20 (original # of members)
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Cheers,
Stan H.