Question

1. generalize a movie theater sells 11,550 tickets for 50 sold - out showings of the same movie. write a division equation that you can use to find the number of people who bought tickets for each showing. use what you know about dividing with larger numbers to solve the equation.

Explanation:

Step1: Define variables and equation

Let \( x \) be the number of people per showing. The total tickets sold is the number of showings times people per showing, so \( 50x = 11550 \).

Step2: Solve for \( x \)

To find \( x \), divide both sides by 50: \( x=\frac{11550}{50} \).

Step3: Calculate the division

\( \frac{11550}{50}=231 \).

Answer:

The division equation is \( x = \frac{11550}{50} \), and the number of people per showing is 231.