For a large group of students the Boston ballet charges a flat rate of $50.00 plus $15.00 per ticket how much would a school need to take a class of 25 students to see the nutcracker use an equation with two variables to solve this problem

Answer 1

To determine the total cost for a class of 25 students to see The Nutcracker at the Boston Ballet, we can set up an equation using two variables.

Let:

• \( C \) = total cost
• \( n \) = number of students (in this case, 25)

The cost equation can be expressed as follows:

\[ C = 50 + 15n \]

Here, \( 50 \) is the flat rate charged by the Boston Ballet, and \( 15n \) represents the cost of the tickets for \( n \) students at $15 per ticket.

Now, substituting \( n = 25 \) into the equation:

\[ C = 50 + 15(25) \]

Calculating the ticket cost:

\[ C = 50 + 375 \]

Now adding the flat rate:

\[ C = 425 \]

Thus, the total cost for a class of 25 students to see The Nutcracker would be $425.00.