A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than

Question

40 people, then the cost per person is greater by $12.00. What is the cost per person if 40 people charter the aircraft?

Please show and explain your work.

This is a bogus question not updated by Hitman.....

This is a bogus question not uploaded by hitman.

Answer 1

40(x) = 36(x+12) : 40 people paying x dollars is the same price
: as 36 people paying 12 dollars more than x
40x = 36x + 432 : this expands the equation
4x = 432 : subtract 36x from each side
x=108 : divide both sides by 4

40 people would each have to pay $108 dollars, as x=108

Answer 2

you said it is a fix cost that means either they are 40 or 36 or less the cost of chartering the aircraft is the same
so lets assume it is A
either 36 or 40 people the cost is A
if the cost per person of 40 people is x
then the cost per person for 36 people will be x + 12 because as you said is greater with $12:00

if you multiply 40 by x (the cost each person will pay) = A----eqn 1

and if you multiply 36 by x + 12 = A ------eqn 2

eqn 1 = A and eqn 2= A that means eqn 1= eqn2

the it means therefore that

40*x = 36* ( x +12)
40x = 36x + 36*12
40x - 36x = 36*12
4x =432
x =432/4
x=108
each person is paying $108:00 for the 40 people and
108+12= $120 :00 for the 36 people

Answer 3

36 people pay $12. additional to cover the cost of the 4 (40 - 36) people that are not coming.
The cost for 4 people is 36 * $12 = $432.
The cost per person was: $432 / 4 = $108.
The total cost is: $108 * 40 = $4320

For 36 passengers, the cost is $108 + $12 = 120
The total cost is: $120 * 36 = $4320
The total cost is the same which confirms I did not make a mistake,

Answer 4

Let x be the cost per person if 40 people charter the aircraft. Then we have

36(x+12) = 40x (balanced at a fixed total cost)

Solving for x gives,

x = $108

Answer 5

first hypothesis that 40 human beings pays "P" money for a seat interior the chartered airplane. aka 40( P ) = ok (the position ok is the finished fee of chartering the airplane. a consistent, mounted cost) now you keep in mind that 36 human beings pays 12 money extra in line with man or woman, at the same time as nonetheless the right cost will be consistent (ok) aka 36 ( P + 12 ) = ok now because both equations are equivalent (both = ok ), you may blend them as a fashion to simplify the cost of P : 40 ( P ) = 36 ( P + 12 ) 40P = 36P + 432 40P - 36P = 432 4P = 432 P = 108 $

Answer 6

If you let f be the cost per person for forty people, and t be the cost per person for 36 people, then since the cost is the same,

40f = 36t.

You are also given that the cost per person for 36 people is $12 more than the cost per person for 40 people, this gives you

t = 12 + f.

Given these two equations, you can find f. Cheers!

Answer 7

If y = cost of the plane, and x is the price per person then:
y=40x
y=36(x+12)
40x=36(x+12)
40x=36x+432
4x=432
x=108

Answer 8

let the charges per person be x
charges for forty persons=40x
when it is distributed over 36 persons
charges per person=40x/36
the equation
40x/36-x=12
multiplying by 36
40x-36x=36*12
4x=432
dividing by 4
x=108
so cost per person=$108