Goods Shipment Math Problem: Find The Fourth Shipment Weight

Hey guys! Let's break down this word problem together. It seems like a merchant placed a massive order of 85,000 kg of goods, and they're receiving it in four separate shipments. Our mission, should we choose to accept it, is to figure out how much is in the fourth shipment. Sounds like fun, right? Let's put on our thinking caps and dive in!

Understanding the Problem

First, let's really understand what's going on. The merchant ordered a total of 85,000 kg. We know the weights of the first three shipments, either directly or indirectly, and we need to calculate the weight of the fourth. This is a classic problem that involves addition, subtraction, and careful reading. To make things easier, we'll tackle each shipment one at a time, ensuring we don’t miss any details.

Before we jump into calculations, let's outline the known information:

• Total order: 85,000 kg
• First shipment: 81.50 kg
• Second shipment: 65 kg more than the first shipment
• Third shipment: The combined weight of the first and second shipments
• Fourth shipment: The remainder needed to reach the total order weight

Having this information clearly laid out is super important. It helps us visualize the problem and avoid getting lost in the numbers. We're essentially building a roadmap to the solution, and a good roadmap makes the journey much smoother. We'll be using these data points to solve the problem step by step. This approach is very useful for handling any complex problems, breaking it down into manageable chunks.

Remember, attention to detail is key in problems like this. One small mistake in addition or subtraction can throw off the entire calculation. So, let's double-check our work as we go along. Now that we have a clear understanding of the problem and the information available, we can move on to the next phase: calculating the weight of each shipment.

Calculating the Weight of Each Shipment

Now comes the fun part – the math! We'll take it one shipment at a time to avoid any confusion. By calculating each shipment individually, we're creating a clear and logical path to the final answer. Think of it like building a house – you start with the foundation and build from there.

First Shipment: 81.50 kg

The problem already tells us the weight of the first shipment, which is 81.50 kg. That was easy, right? Sometimes, the information we need is right there in front of us; we just need to spot it. Now we have the first piece of our puzzle, and it's time to move on to the next.

Second Shipment: 65 kg More Than the First

Here's where we need to do a little calculation. The second shipment is 65 kg more than the first. So, we'll add 65 kg to the weight of the first shipment (81.50 kg). Let's do it:

81. 50 kg + 65 kg = 146.50 kg

So, the second shipment weighs 146.50 kg. See? We're making progress! We've successfully calculated the weight of the second shipment by using the information given and a little bit of addition. This shows how breaking down the problem into smaller steps makes the whole thing much less daunting.

Third Shipment: Combined Weight of the First and Second

Next up is the third shipment. It weighs the same as the first and second shipments combined. That means we need to add the weights of the first and second shipments together. We already know those weights: 81.50 kg (first shipment) and 146.50 kg (second shipment). Let's add them up:

82. 50 kg + 146.50 kg = 228 kg

Therefore, the third shipment weighs 228 kg. We're on a roll! We've now figured out the weight of the third shipment by using our previous calculations. This is a great example of how each step in solving a problem can build on the previous ones.

Fourth Shipment: The Remainder

Finally, we're at the last piece of the puzzle – the fourth shipment. We know the total order weight (85,000 kg) and the weights of the first three shipments. To find the weight of the fourth shipment, we need to subtract the combined weight of the first three shipments from the total order weight. First, let's find the combined weight of the first three shipments:

83. 50 kg + 146.50 kg + 228 kg = 456 kg

Now, we subtract this combined weight from the total order weight:

84. 000 kg - 456 kg = 84,544 kg

So, the fourth shipment weighs a whopping 84,544 kg! We've done it! By methodically working through each shipment, we've successfully calculated the weight of the final delivery. This demonstrates the power of a systematic approach to problem-solving.

Conclusion: Problem Solved!

Awesome! We've successfully navigated this tricky word problem. The fourth shipment weighs 84,544 kg. High five! By breaking down the problem into manageable steps, carefully calculating each shipment's weight, and double-checking our work, we arrived at the solution. This is a great example of how complex problems can be simplified by a step-by-step approach.

Remember, the key to solving problems like this is to:

• Read the problem carefully: Make sure you understand what is being asked.
• Identify the key information: What facts are given? What do you need to find out?
• Break the problem down: Divide the problem into smaller, more manageable steps.
• Show your work: This helps you keep track of your calculations and makes it easier to find any errors.
• Double-check your answer: Does your answer make sense in the context of the problem?

So, next time you encounter a challenging word problem, don't panic! Just remember the strategies we used today, and you'll be well on your way to finding the solution. Keep practicing, and you'll become a problem-solving pro in no time!

Remember guys, math isn't just about numbers; it's about problem-solving skills that you can use in all areas of life. Keep challenging yourselves, and never stop learning! You've got this!