Question

A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies?

Which equation represents the scenario?


How many people went to the movies?

Answer 1

Let's break down the problem step by step.

1. **Identify Total Expenditure**: The total amount spent by the group is $30.75.

2. **Refreshments Cost**: The group spent $12 on refreshments.

3. **Tickets Cost**: The money spent on tickets can be calculated by subtracting the refreshment cost from the total expenditure:
\[
\text{Total ticket cost} = \text{Total spent} - \text{Refreshments cost} = 30.75 - 12 = 18.75
\]

4. **Cost per Ticket**: The price of each ticket is $6.25.

5. **Determine the Number of Tickets**: To find the number of tickets, we can set up the following equation:
\[
\text{Number of tickets} = \frac{\text{Total ticket cost}}{\text{Cost per ticket}} = \frac{18.75}{6.25}
\]

6. **Solve for the Number of Tickets**:
\[
\frac{18.75}{6.25} = 3
\]

So, the number of people who went to the movies is **3**.

### Summary

- **Equation representing the scenario**:
\[
\text{Total spent} = (\text{Number of tickets} \times \text{Cost per ticket}) + \text{Cost of refreshments}
\]
or specifically:
\[
30.75 = (x \cdot 6.25) + 12
\]
where \(x\) is the number of tickets.

- **Number of people who went to the movies**: **3**.