If three adults and two children go to the movies, it costs $33.50. if one adult and four children go to the movies, it costs $30.50. what is the cost of one adult movie ticket?

$5.80
$6.40
$7.30

  $7.30

Step-by-step explanation:

The problem statement gives rise to two equations:

If we double the first equation and subtract the second, we have ...

  2(3a +2c) -(1a +4c) = 2(33.50) -(30.50)

  5a = 36.50 . . . . simplify

  a = 7.30 . . . . . . .divide by 5

The cost of one adult ticket is $7.30.

to find the unit price of an object, you divide the price by object. you are trying to find out how much an object cost per unit.

for instance, lets say you have 50lb of ice cream(object) that cost 8.00 dollars(price). to find the unit cost, we take the 8.00 and divide it by 50, which will give us .16 cents per pound. we can check this by multiplying .16 by 50 = 8.00

so

object = e2

price = d2

unit price = c2

formula for c2:

=d2 / e2

so in my example about ice cream, we would have the following.

e2 = 50

d2 = 8.00

c2 formula:

=d2 / e2