https://file.aiquickdraw.com/mathbot/file/1726233318849cjxby2qe.jpg

In this problem, you are asked to create an equation to model the scenario and identify the best variable to represent.

### Breakdown:
- A family of three went to the movies.
- The cost of each ticket is $9.
- The family bought two bags of popcorn.
- The total amount spent is $33.
- The question asks for the cost of each bag of popcorn.

Let’s set up the equation:
- For the tickets: $ 3 \times 9 = 27 $ (since three people bought tickets at $9 each).
- Let **p** be the price of one bag of popcorn. Since two bags were bought, the total for the popcorn is $ 2 \times p $.
- The total amount spent is given as $33.

### Equation:
\[
27 + 2p = 33
\]

To solve for **p**:
\[
2p = 33 - 27 = 6
\]
\[
p = \frac{6}{2} = 3
\]

Thus, the price of each bag of popcorn is $3.

### Best choice for the variable in your equation:
- The correct choice is **Let $ p $ = price of each bag of popcorn**.

Would you like further details on solving this equation, or have any other questions?

---

Here are 5 related questions to deepen your understanding:
1. How would the equation change if there were 4 people instead of 3?
2. What if the tickets cost $8 each instead of $9?
3. If they bought 3 bags of popcorn, how would that affect the equation?
4. Can you create a similar equation if they spent a total of $40?
5. How would you handle this problem if the total amount spent was unknown?

### Tip:
When writing equations for word problems, always identify all known and unknown quantities and assign variables accordingly to make the equation easier to understand and solve.

A family of three went to the movies. They paid $9 per ticket and also bought two bags of popcorn to share. The family spent a total of $33. How much did each bag of popcorn cost?

Learn how to set up and solve an equation for a family trip to the movies, calculating the price of popcorn bags. This word problem involves basic algebraic concepts like forming linear equations and solving for unknowns, ideal for students in grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation