Brad's science class is heading to Skylight Observatory on a field trip. The observatory offers a group rate for students that is $4 less per person than the normal cost. There are 27 students in Brad's science class. His teacher called ahead and found that the total cost for the class will be $378. What is the normal cost per person?

Question

Brad's science class is heading to Skylight Observatory on a field trip. The observatory offers a group rate for students that is $4 less per person than the normal cost. There are 27 students in Brad's science class. His teacher called ahead and found that the total cost for the class will be $378. What is the normal cost per person?

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Answer 1

Let x be the normal cost per person.

The group rate is x - $4.
The total cost is 27 * (x - $4) = $378.
Thus, x - $4 = $378 / 27 = $14.
Thus, the normal cost per person is x = $14 + $4 = $<<14+4=18>>18. Answer: \boxed{18}.

Answer 2

Let's assume the normal cost per person is $x.

According to the given information, the observatory offers a group rate for students that is $4 less per person than the normal cost. Therefore, the group rate per person would be (x - $4).

There are 27 students in Brad's science class, so the total cost for the class would be the number of students multiplied by the group rate per person, which gives us: 27(x - $4).

We are also given that the total cost for the class is $378. Therefore, we can set up the equation:

27(x - $4) = $378.

Now, let's solve this equation to find the normal cost per person.

27x - 108 = $378.

Adding 108 to both sides of the equation:

27x = $486.

Finally, divide both sides by 27 to solve for x:

x = $18.

Therefore, the normal cost per person is $18.

Answer 3

To find the normal cost per person, we can set up an equation based on the given information.

Let's say the normal cost per person is "x" dollars.

Since the group rate is $4 less per person than the normal cost, the group rate per person would be "x - $4" dollars.

Now, we know that there are 27 students in Brad's science class. So, the total cost for the class would be the product of the normal cost per person and the number of students: 27 * x.

According to the information given, the total cost for the class is $378.

Putting it all together, we can create an equation:
27 * x - $4 = $378.

To solve the equation, we can isolate the variable "x" by adding $4 to both sides:
27 * x = $378 + $4.

Simplifying, we get:
27 * x = $382.

Finally, we can solve for "x" by dividing both sides by 27:
x = $382 / 27.

Evaluating the division, we find that the normal cost per person is approximately $14.15.