SOLUTION: A group can charter an 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 total cos

Question 505261: A group can charter an 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 total cost to charter the aircraft?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A group can charter an 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 total cost to charter the aircraft?
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Let C = the total cost
Let p = the cost per person if 40 people charter
Since the cost is fixed, we can write the following two equations:
C = 40p
C = 36(p+12)
Solve for p in the 1st and substitute in the 2nd:
C = 36(C/40+12)
Solve for C:
C = (9/10)C + 432
C = $4320
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