Question 118422: A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. What is the cost per person if 40 people charter the aircraft?
The answer is $108.
I've tried several formulas, but am convinced I am missing an integral piece of the equation.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. What is the cost per person if 40 people charter the aircraft?
The answer is $108.
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Let "x" be the fixed total cost.
If 36 people go the average cost is x/36 dollars per person
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If 40 people go the average cost is x/40 dollars perperson
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EQUATION:
36person cost is 12 more per person than 40 person cost
x/36 = x/40 + 12
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Multiply thru by 360 to get:
10x = 9x + 12*360
x = $4320
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If 40 charter the airplane the per person cost is 4320/40 = $108.00
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Cheers,
Stan H.
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Cheers,
Stan H.
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