msk0657 wrote:
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.
(a) What is the fixed total cost to charter the aircraft?
(b) What is the cost per person if 40 people charter the aircraft?
A. a.4320 b.108
B. a.3320 b.118
C. a.2320 b.98
D. a.1038 b.108
E. a.4320 b.98
-----QUESTION A--------------
Let T = TOTAL price of charter
With 36 people, the price PER PERSON = T/36
With 40 people, the price PER PERSON = T/40
We're told that the price PER PERSON with 36 people is $12 greater than the price PER PERSON with 40 people.
In other words: price PER PERSON with 36 people is $12 MORE than the price PER PERSON with 40 people
Or: (price PER PERSON with 36 people) = (price PER PERSON with 40 people) + $12
Now we can write: T/36 = T/40 + 12 (solve for T)
To eliminate the fractions, multiply both sides by 360 to get: 10T = 9T + 4320
Solve: T = 4320
So, the TOTAL price of the charter = $4320
-----QUESTION B--------------
From above, we know that the TOTAL price of the charter = $4320
With 40 people, the price PER PERSON = T/40
So, the price PER PERSON = 4320/40 = $108
So, each person pays $108
------------------------
So, the answers are: A) $4320 and B) $108
Answer: A
Cheers,
Brent
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