SOLUTION: A social club charters a plane at a cost of $34848 to take a group of members on an excursion to Atlantic City. At the last minute, 11 people in the group decide not to go. This ra
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-> SOLUTION: A social club charters a plane at a cost of $34848 to take a group of members on an excursion to Atlantic City. At the last minute, 11 people in the group decide not to go. This ra
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Question 401160: A social club charters a plane at a cost of $34848 to take a group of members on an excursion to Atlantic City. At the last minute, 11 people in the group decide not to go. This raises the transportation cost per person by $24 . How many people originally intended to take the trip? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A social club charters a plane at a cost of $34848 to take a group of members on an excursion to Atlantic City. At the last minute, 11 people in the group decide not to go. This raises the transportation cost per person by $24 . How many people originally intended to take the trip?
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Let "x" be the original number of trippers.
Average cost = 34848/x
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Changed number of trippers: x-11
New average cost = 34848/(x-11)
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Equation:
New Av - Old Av = 24
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34848/(x-11) - (34848/x) = 24
11*34848 = 24x(x-11)
15972 = x^2-11x
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x^2-11x-15972 = 0
(x+121)(x-132) = 0
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Positive solution: x = 132 (original # of trippers)
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Cheers,
Stan H.
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