To solve the problem, we can start by setting up the equation based on the given information.
Let:
- \( F \) represent the flat fee (which is $50.00).
- \( p \) represent the price per ticket (which is $15.00).
- \( n \) represent the number of students (which is 25).
The total cost \( C \) can be expressed as:
\[ C = F + (p \times n) \]
Substituting the values we have:
\[ C = 50 + (15 \times 25) \]
Calculating the number of tickets cost:
\[ 15 \times 25 = 375 \]
Now, substituting this back into the equation:
\[ C = 50 + 375 = 425 \]
Therefore, the total cost for the school to take a class of 25 students to see The Nutcracker is $425.00.
Final Answer: $425.00