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.

Question

A. $375.00
B. $425.00
C. $1,265.00
D. $50.00

Answer 1

To solve the problem, we can define two variables:

• Let \( x \) be the number of tickets.
• Let \( y \) be the total cost.

According to the problem, the total cost can be represented by the equation:

\[ y = 50 + 15x \]

In this case, the group of students consists of 25 students, so we can set \( x = 25 \). Now we can substitute this into the equation:

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

Calculating the ticket cost:

\[ 15(25) = 375 \]

Now, substitute back into the equation:

\[ y = 50 + 375 \] \[ y = 425 \]

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

The correct answer is B. $425.00.