A group of friends decides to attend a concert. The group pays $125 per ticket and each person chips in $6 for parking. A total of $85 is spent on concessions. If the group spent $740, how many friends are

in the group?

To solve this problem, we need to set up an equation based on the total amount spent by the group and then solve for the number of friends in the group.

### Step-by-Step Solution

1. **Define Variables:**
   - Let $ n $ represent the number of friends in the group.

2. **Set Up the Cost Equations:**
   - Each friend pays $125 for a ticket, so the total cost for tickets is $ 125n $.
   - Each friend also pays $6 for parking, so the total cost for parking is $ 6n $.
   - The total spent on concessions is $85.

3. **Formulate the Total Cost Equation:**
   The total amount spent by the group is the sum of the costs for tickets, parking, and concessions:
   \[
   125n + 6n + 85 = 740
   \]

4. **Combine Like Terms:**
   Combine the terms involving $ n $:
   \[
   131n + 85 = 740
   \]

5. **Isolate $ n $:**
   Subtract 85 from both sides to isolate the term with $ n $:
   \[
   131n = 655
   \]

6. **Solve for $ n $:**
   Divide both sides by 131 to solve for $ n $:
   \[
   n = \frac{655}{131} = 5
   \]

### Conclusion

There are **5 friends** in the group.

Would you like more details on any part of the solution, or do you have any questions?

Here are some related questions to consider:
1. If each friend spent $10 more on concessions, how much would the total be?
2. How much would the total cost be if there were 8 friends in the group?
3. If the group received a discount and paid only $110 per ticket, how many friends would be in the group if the total was still $740?
4. What would be the total amount spent on parking if there were 7 friends?
5. If the parking fee doubled, how much more would each friend need to contribute?

**Tip:** When solving word problems, start by identifying all the costs and variables involved to set up an equation that represents the total cost or amount.

Learn how to calculate the number of friends attending a concert based on their expenses for tickets, parking, and concessions. Detailed step-by-step solution provided.

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