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 nut cracker. use ans equation with two varibles to solve this problem.

Answer 1

To determine the total cost for a school to take a class of 25 students to see "The Nutcracker," we can define the following variables:

• Let \( x \) represent the number of tickets (which, in this case, would be the same as the number of students).
• Let \( C \) represent the total cost.

Given the pricing structure from the Boston Ballet, we can establish the following equation based on the flat rate and the cost per ticket:

\[ C = 50 + 15x \]

For this problem, since there are 25 students, we substitute \( x = 25 \) into the equation:

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

Now, we can calculate \( C \):

1. Calculate \( 15 \times 25 = 375 \)
2. Add the flat rate: \( C = 50 + 375 = 425 \)

Therefore, the total cost for the school to take a class of 25 students to see "The Nutcracker" is $425.00.