Theater Tickets: Calculate Carla's Total Cost With Fee

by Dimemap Team 55 views

Hey guys! Let's break down this math problem step-by-step so we can help Carla figure out how much she spent on those theater tickets. This is a practical problem that involves understanding percentages and applying them to real-life situations, like buying tickets online. So, let’s dive in!

Understanding the Problem

First, let’s clearly define the problem. Carla bought two tickets online for a play. Each ticket has a face value, and there's an additional convenience fee of 12% on each ticket. The question we need to answer is: what was the total amount Carla paid for the tickets, including the convenience fees?

To tackle this, we need to consider a few key pieces of information:

  • Cost per ticket: 80 reais
  • Number of tickets: 2
  • Convenience fee: 12% per ticket

With these details, we can map out our approach to solving this problem. We'll first calculate the convenience fee for one ticket, then add it to the original price to get the total cost for one ticket. Finally, we'll multiply that total by two to find out what Carla paid for both tickets.

Calculating the Convenience Fee

The first step in figuring out Carla's total cost is to calculate the convenience fee for a single ticket. The convenience fee is 12% of the original ticket price, which is 80 reais. To calculate a percentage of a number, we convert the percentage to a decimal and then multiply it by the number. In this case, we need to find 12% of 80.

To convert 12% to a decimal, we divide it by 100:

12% = 12 / 100 = 0.12

Now, we multiply this decimal by the original ticket price:

Convenience fee = 0.12 * 80 reais

Calculating this, we get:

Convenience fee = 9.6 reais

So, the convenience fee for one ticket is 9.6 reais. This is the extra amount Carla had to pay on top of the original ticket price for the convenience of buying the tickets online. This is a crucial step in understanding the total cost, as this fee significantly adds to the overall expense.

Calculating the Total Cost per Ticket

Now that we know the convenience fee for one ticket is 9.6 reais, we can calculate the total cost of one ticket. To do this, we simply add the convenience fee to the original price of the ticket, which is 80 reais.

Total cost per ticket = Original price + Convenience fee

Total cost per ticket = 80 reais + 9.6 reais

Adding these values together, we get:

Total cost per ticket = 89.6 reais

So, each ticket cost Carla 89.6 reais, including the convenience fee. It’s important to understand this cost per ticket because it forms the basis for calculating the total expense for both tickets. Remember, Carla bought two tickets, so we're not done yet! This step is vital because it combines the original price with the added cost, giving us a clear picture of how much each ticket actually set Carla back.

Calculating the Total Purchase Amount

We’re almost there! We now know that each ticket cost Carla 89.6 reais, including the convenience fee. Since Carla bought two tickets, we need to multiply the cost per ticket by the number of tickets to find the total purchase amount. This will give us the final answer to our problem.

Total purchase amount = Cost per ticket * Number of tickets

Total purchase amount = 89.6 reais * 2

Multiplying these values together, we get:

Total purchase amount = 179.2 reais

Therefore, Carla's total purchase amount for the two theater tickets, including the convenience fees, was 179.2 reais. This is the final answer we were looking for! By breaking down the problem into smaller steps, we were able to accurately calculate the total cost.

Final Answer and Review

So, after all the calculations, we’ve determined that Carla spent a total of 179.2 reais on the two theater tickets. Let's quickly recap the steps we took to arrive at this answer:

  1. We identified the original cost per ticket (80 reais) and the convenience fee (12%).
  2. We calculated the convenience fee amount (9.6 reais per ticket).
  3. We added the convenience fee to the original cost to find the total cost per ticket (89.6 reais).
  4. Finally, we multiplied the total cost per ticket by the number of tickets (2) to find the total purchase amount (179.2 reais).

By following these steps, we were able to systematically solve the problem. It’s always a good idea to review your steps to ensure accuracy, especially when dealing with financial calculations. Great job, guys! We successfully helped Carla figure out her expenses for those theater tickets.

Practical Implications and Tips

Understanding how to calculate costs, especially when dealing with percentages and fees, is super important in real life. Whether you're buying tickets online like Carla, shopping for clothes, or even planning a trip, these skills come in handy. Here are a few tips to keep in mind:

  • Always read the fine print: Companies often add fees for services, so make sure you know what you're paying for.
  • Break down the problem: If you're facing a complex calculation, divide it into smaller, manageable steps.
  • Double-check your work: Math errors can happen, so take a moment to review your calculations to ensure accuracy.
  • Use tools wisely: Calculators and online tools can help, but it's also good to understand the math behind the calculations.

By mastering these skills, you'll become a savvy shopper and financial planner. Keep practicing, and you'll find these calculations become second nature. And remember, guys, math isn't just for the classroom – it’s a powerful tool for navigating the world!