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Question 982767: the ski club is planning to charter a bus to a ski resort. the cost will be $900 and each member will share the cost equally. if the club had 15 more members, the cost per persona would be $10 less. how many are in the club now?( hint if x=number in the club now, 900/x= cost per person.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the ski club is planning to charter a bus to a ski resort. the cost will be $900 and each member will share the cost equally. if the club had 15 more members, the cost per persona would be $10 less. how many are in the club now?( hint if x=number in the club now, 900/x= cost per person.)
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Starting average cost per person:: 900/x
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After gaining 15 members:: 900/(x+15)
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Equation:
original average - new average = 10
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900/x - 900/(x+15) = 10
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1/x - 1/(x+15) = 1/90
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90(x+15) - 90x = x^2 + 15x
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x^2 + 15x - 90*15 = 0
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Positive solution::
x = 30 (original number of students)
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Cheers,
Stan H.
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