Calculate Distance Traveled Pablo's Transportation Service

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Introduction

In this article, guys, we're diving into a real-world scenario involving Pablo, a transportation service provider. Pablo charged a total of R$ 180.00 for a service, which included R$ 120.00 for labor and R$ 5.00 for each kilometer traveled. Our goal is to figure out how many kilometers Pablo covered during this service. This is a classic problem that combines basic arithmetic with a practical application, making it both engaging and relevant. Understanding how to break down costs and calculate distances is super useful in many situations, from personal budgeting to business operations. So, let's put on our math hats and get to work!

Breaking Down the Problem

To solve this problem effectively, it's crucial to break it down into smaller, manageable parts. First, we know the total amount Pablo charged: R$ 180.00. This total includes two main components: the labor cost (R$ 120.00) and the cost based on the distance traveled (R$ 5.00 per kilometer). Our primary keyword here is calculating the distance, which is what we aim to do. To find the distance, we need to isolate the portion of the total cost that is directly related to the kilometers traveled. This involves subtracting the fixed labor cost from the total charge. By doing this, we'll have the amount that was charged solely based on the distance Pablo drove. This step is critical because it sets the stage for the final calculation, where we divide the distance-based cost by the cost per kilometer. Think of it like peeling away the layers of an onion – each step gets us closer to the core information we need. Understanding this breakdown is key to not just solving this specific problem but also tackling similar problems in the future. So, let’s move on to the next step, where we’ll actually perform the subtraction and see what we get. Remember, it's all about taking things one step at a time!

Calculating the Cost Based on Distance

Alright, guys, now that we've broken down the problem, let's dive into the calculations. As mentioned earlier, the first step is to figure out how much of the total charge was based on the distance Pablo traveled. We know the total charge was R$ 180.00, and the labor cost was R$ 120.00. To find the cost solely for the distance, we simply subtract the labor cost from the total charge. So, we have R$ 180.00 - R$ 120.00. This subtraction will give us the amount that Pablo charged specifically for the kilometers he drove. Doing the math, 180 minus 120 equals 60. So, R$ 60.00 was the cost attributed to the distance traveled. This is a significant piece of the puzzle because now we know exactly how much of the total charge is directly linked to the number of kilometers. The next step is to use this information to calculate the actual distance. Remember, Pablo charged R$ 5.00 for each kilometer. So, with R$ 60.00 representing the total cost for the distance, we're just one step away from finding our answer. This part is like figuring out how many slices of pizza you can buy with a certain amount of money, knowing the price per slice. Let's move on to the final calculation and nail this problem!

Determining the Distance Traveled

Okay, team, we're in the home stretch! We've already figured out that R$ 60.00 of the total charge was for the distance Pablo traveled. We also know that Pablo charges R$ 5.00 per kilometer. To find the total distance, we need to divide the total cost for the distance (R$ 60.00) by the cost per kilometer (R$ 5.00). This is where our division skills come into play. The calculation we need to perform is 60 divided by 5. Think of it this way: how many groups of 5 are there in 60? If you do the math, you'll find that 60 divided by 5 equals 12. This means that Pablo traveled 12 kilometers. Isn't it cool how we've used simple math to solve a real-world problem? We started with a total charge, subtracted the labor cost, and then divided by the cost per kilometer to find the distance. This kind of problem-solving is super useful in everyday life, whether you're calculating travel costs, figuring out expenses, or even just splitting a bill with friends. So, to recap, Pablo traveled 12 kilometers. Great job, guys, we nailed it!

Conclusion

So, there you have it, guys! We've successfully calculated the distance Pablo traveled by breaking down the problem into manageable steps. We started with the total charge, subtracted the fixed labor cost, and then divided the remaining amount by the cost per kilometer. The result? Pablo traveled a total of 12 kilometers. This exercise highlights how important it is to understand the components of a total cost and how basic arithmetic can help us solve practical problems. The key takeaway here is that by understanding the relationships between different variables – in this case, total cost, labor cost, cost per kilometer, and distance – we can easily find the missing piece of the puzzle. Whether you're running a business, managing your personal finances, or just trying to understand a bill, these skills are invaluable. Keep practicing these kinds of problems, and you'll become a math whiz in no time! Remember, it's all about breaking things down, understanding the relationships, and taking it one step at a time. Thanks for joining me on this math adventure, and I hope you found it both helpful and fun!

Keywords

  • Calculating the distance
  • Transportation service
  • Cost calculation
  • Kilometers traveled
  • Problem-solving