The movie theater charges $25 per ticket. What is the equation to determine the total cost of attending the movie with any number of people. Let t represent the number of people buying tickets and c represent the total cost.


The movie theater charges $25 per ticket. What is the equation to determine the total cost of attending the movie with any number of people. Let t represent the number of people buying tickets and c represent the total cost.


25t=c


25+c=t


25+t=c


25c=t

The correct equation to determine the total cost of attending the movie with any number of people, where $ t $ represents the number of people and $ c $ represents the total cost, is:

\[
25t = c
\]

This equation means that the total cost $ c $ is equal to the price of a single ticket (\$25) multiplied by the number of people $ t $.

The other options are incorrect because:
- $ 25 + c = t $: This would mean that adding 25 to the total cost equals the number of people, which is incorrect.
- $ 25 + t = c $: This would mean that adding 25 to the number of people equals the total cost, which is also incorrect.
- $ 25c = t $: This would mean that multiplying the cost by 25 gives the number of people, which doesn't represent the situation.

Do you want more details or have any questions?

Here are five related questions for you to consider:
1. If 3 people attend the movie, what would be the total cost?
2. How would the equation change if the ticket price increased to \$30?
3. If the total cost is \$100, how many people attended the movie?
4. What if there is a discount of 10% per ticket? How would the equation change?
5. How would you express the average cost per person based on the equation?

**Tip**: Always check the units of variables in word problems to ensure you're setting up your equations correctly!

The movie theater charges $25 per ticket. What is the equation to determine the total cost of attending the movie with any number of people. Let t represent the number of people buying tickets and c represent the total cost.

Determine the total cost of attending a movie where tickets are priced at $25 each. This algebra problem explores linear equations and helps you understand how to calculate the total cost based on the number of people attending. Suitable for students in Grades 6-8.

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