Ibadan-Lagos Expressway Toll Calculation

Hey guys! Let's dive into a fun math problem involving the Ibadan-Lagos Expressway. We're going to figure out the total amount of money collected from different types of vehicles. This is a classic example of how math is used in everyday life, even when we're just cruising down the highway. So, buckle up, grab your calculators (or your brains!), and let's get started. We'll be using simple multiplication and addition – nothing too scary, I promise. This exercise will help us understand how businesses, like the expressway operators, manage their finances and how they account for different sources of income. Understanding these calculations can even help us appreciate the logistics and infrastructure involved in maintaining a major roadway. It's not just about the numbers; it's about the bigger picture of how things work! It's also a great way to practice your basic arithmetic skills, which are always useful, whether you're balancing your checkbook, figuring out a tip at a restaurant, or, you know, calculating expressway tolls. The goal is simple: calculate the total amount of money collected from cars, buses, lorries, and trailers. We're given the toll fees for each vehicle type and the number of each type that passed through the toll gate. It's like a fun little puzzle, and we get to use math to solve it! It also provides insight into the economics of road infrastructure and how these fees contribute to the maintenance and improvement of the expressway. Remember, math is everywhere, and even seemingly mundane things like calculating tolls can be a great way to keep your math skills sharp and see the practical applications of what you've learned. It is a real-world application of multiplication and addition, demonstrating how these simple mathematical operations can be used to solve practical problems. So, let’s begin!

Understanding the Toll Fees

Alright, let's break down the toll fees on the Ibadan-Lagos Expressway. This is the foundation of our calculation, the building blocks from which we will construct our answer. The expressway authority charges different fees based on the type of vehicle. This is pretty standard practice, as larger vehicles tend to cause more wear and tear on the road. Here's the breakdown, which is essential to understand before we move forward:

• Cars: Each car pays a toll of A250.
• Buses: Buses are charged A500 each.
• Lorries: Lorries have a toll of A750.
• Trailers: Trailers pay the highest toll, at A1000.

So, with this information, we have everything we need to start calculating the total revenue generated by the different vehicles. This step is about organizing the information; think of it as setting up your workspace before starting a project. Without a clear understanding of the fees, we wouldn't be able to calculate anything, so this is super important. Think about it like a recipe: you need to know the ingredients (toll fees) before you can bake the cake (calculate the total amount). This step establishes the values needed to calculate total revenue generated by each type of vehicle. Each value represents how much a vehicle pays to use the road, so knowing the cost per vehicle is crucial. It’s like setting up the base layer of a mathematical equation. Understanding these values helps in organizing the data, enabling accurate calculation of the overall revenue from different vehicle types. Knowing these figures is similar to knowing the cost of each item before calculating a total bill, as each amount affects the overall final amount. This helps us ensure that we are starting with the right numbers and not missing any data.

Calculating Revenue per Vehicle Type

Now, let's get to the fun part: calculating how much money is collected from each type of vehicle. We'll use the basic multiplication formula, which is a key arithmetic operation. This helps us find the total amount collected from each vehicle category. We know how much each vehicle pays and how many of each type passed through the toll gate. With this information, we can easily calculate the revenue generated by each. For each vehicle type, we're going to multiply the toll fee by the number of vehicles. Here’s how we'll do it:

• Cars: We have 120 cars, and each pays A250. So, the total amount from cars is 120 cars * A250/car = A30,000.
• Buses: There are 70 buses, each paying A500. The total from buses is 70 buses * A500/bus = A35,000.
• Lorries: We have 42 lorries, each with a toll of A750. This gives us 42 lorries * A750/lorry = A31,500.
• Trailers: Finally, we have 18 trailers, each paying A1000. So, the total from trailers is 18 trailers * A1000/trailer = A18,000.

See? It's pretty straightforward, right? Each calculation shows how the individual toll fees contribute to the overall revenue. This step breaks down the total revenue into smaller, more manageable components. This makes it easier to verify our work and understand where each part of the total comes from. It provides a detailed breakdown of the total amount collected by each vehicle type. Multiplication is the key operation here. Knowing how many vehicles of each type passed through and the fee for each vehicle enables a quick and simple calculation.

Summing Up the Total Revenue

Okay, we're almost there! We've calculated the revenue from each type of vehicle. Now, our final step is to add up all those individual amounts to find the total revenue collected on the Ibadan-Lagos Expressway for that period. This is the grand finale, the final calculation that gives us our answer. We'll simply add the revenue from cars, buses, lorries, and trailers. It's the last piece of the puzzle. This helps in understanding the total financial performance. We will now add all the values we got from the previous step together, such as the total collected from cars (A30,000), buses (A35,000), lorries (A31,500), and trailers (A18,000). To calculate the overall total revenue, you sum up the revenue obtained from each vehicle type. It's the total of all the parts. By summing these revenues, you get the overall financial gain from the expressway tolls. The total collection is the sum of the money earned from each vehicle type. This final step synthesizes all previous calculations into a single, comprehensive figure, giving the total revenue for the day.

Let's do the addition: A30,000 (cars) + A35,000 (buses) + A31,500 (lorries) + A18,000 (trailers) = A114,500.

So, the total amount collected from the 120 cars, 70 buses, 42 lorries, and 18 trailers on the Ibadan-Lagos Expressway is A114,500. Congratulations, guys, we’ve solved the problem!

Conclusion

There you have it! We've successfully calculated the total toll revenue for the Ibadan-Lagos Expressway. This exercise shows us how simple math concepts like multiplication and addition are used in real-world scenarios. It's a fundamental mathematical concept applied to a common, everyday situation. The process highlights the practical application of basic mathematical principles in real-world situations, showing that math is all around us. We learned how to calculate the total amount from different vehicles by multiplying the toll fee by the number of vehicles, and then adding all the revenues. This also provides insights into how the expressway is managed financially. This knowledge allows us to appreciate how everyday expenses are handled, even on a large scale like an expressway. Knowing these calculation methods allows us to understand how revenues are generated and managed. So, next time you're on a road trip and pass through a toll gate, you can think about the math behind it all. Keep practicing, and you'll find that math is not just a subject in school; it's a tool you can use every day! Remember, math is a skill that gets better with practice. The more you use it, the easier it becomes. Keep exploring and applying these concepts in your daily life. And don't be afraid to ask questions; there's always something new to learn.