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We are given that:

- Children's tickets cost $6.50 each.
- Adult tickets cost $8.75 each.
- The total number of people is 35.
- The total sales amount is $259.

We need to determine how many children were in the group.

### Let:
- $ x $ be the number of children.
- $ 35 - x $ be the number of adults (since the total number of people is 35).

### Forming the equation:
The total cost from both children's and adults' tickets is given by:

\[
6.50x + 8.75(35 - x) = 259
\]

Now, let's solve this equation.The solution to the equation is $ x = 21 $, meaning there were 21 children in the group.

Would you like more details, or do you have any questions about this?

Here are 5 related questions to further expand on this problem:

1. How many adults were in the group?
2. If the ticket price for adults changed to $9, how would that affect the total?
3. What would be the total cost if all tickets were children’s tickets?
4. How would the equation change if the total sales were $300 instead of $259?
5. What is the cost per person on average in this group?

**Tip:** When setting up word problems, carefully define your variables to avoid confusion.

At a movie theater, tickets for children cost $6.50 each and adult tickets cost $8.75 each. If ticket sales for a group of 35 people totaled $259, how many children were in this group?

Learn how to solve a linear equation related to movie ticket sales where children's tickets cost $6.50 and adult tickets cost $8.75. Find out how many children were in the group of 35 people based on total ticket sales of $259. Suitable for Grades 6-8.

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