Solving The Farm Water Consumption Problem

Hey there, math enthusiasts! Today, we're diving into a fun problem involving a farm, some thirsty animals, and a whole lot of water. This problem is perfect for those looking to sharpen their problem-solving skills and understand how different animals consume water. So, grab your pencils, and let's get started. We'll break down the question step-by-step, making sure everyone can follow along. Ready? Let's do this!

The Problem: Water Consumption on the Farm

Our problem starts with a farm, where animals need their daily dose of water. The farm consumes a total of 17,674 liters of water every single day. That's a lot of H2O! We also know how much water some of the animals drink. Let's see what the problem tells us:

• Sheep: They drink 3,120 liters. These fluffy friends sure love their water.
• Horses: They drink 1,190 liters more than the sheep. This means we'll need to figure out how much the horses drink.
• Cows: They drink the same amount as both the sheep and the horses combined. So, we'll need to calculate their combined water consumption.
• Goats: They drink the rest of the water. We need to figure out how much water is left over after the other animals have had their fill.

Our mission is to find out how much water the goats consume each day. It sounds like a challenge, but we can totally tackle it together. Let's start with what we know and build from there. Remember, breaking down a problem into smaller parts makes it easier to solve. We'll take this one step at a time, no sweat!

To begin, let's list out the knowns and unknowns. This will help us organize our thoughts and ensure we don't miss anything. The knowns are the total water consumption (17,674 liters), the sheep's water consumption (3,120 liters), and the horses drink 1,190 liters more than the sheep. The unknown is the amount of water the goats consume. We'll start by determining how much water the horses consume, then calculate how much water the cows drink, then we can find out how much the goats consume.

Now, let's dive deeper and uncover the steps to solve this problem. Ready to break it down? Let's go!

Step-by-Step Solution: Unraveling the Mystery

Alright, guys, let's get into the nitty-gritty and figure out how to solve this problem step-by-step. Remember, we're trying to find out how much water the goats drink. We'll begin by working out the consumption of the horses, then calculate the amount of water drunk by the cows, and finally, determine how much water the goats drink.

Step 1: Calculate the Horses' Water Consumption

We know the horses drink 1,190 liters more than the sheep. The sheep drink 3,120 liters. So, to find out how much the horses drink, we need to add 1,190 liters to the sheep's consumption:

Horses' water = Sheep's water + 1,190 liters Horses' water = 3,120 liters + 1,190 liters Horses' water = 4,310 liters

So, the horses drink 4,310 liters of water. Not bad, huh?

Step 2: Calculate the Cows' Water Consumption

Next up, we need to figure out how much water the cows drink. The cows drink the same amount as the sheep and horses combined. We already know the sheep drink 3,120 liters, and the horses drink 4,310 liters. So, we add those together:

Cows' water = Sheep's water + Horses' water Cows' water = 3,120 liters + 4,310 liters Cows' water = 7,430 liters

So, the cows drink 7,430 liters of water. These guys are thirsty!

Step 3: Calculate the Goats' Water Consumption

Finally, we're ready to find out how much water the goats consume. We know the total water consumption for the farm is 17,674 liters. We also know how much the sheep, horses, and cows drink. To find out how much the goats drink, we need to subtract the water consumption of the sheep, horses, and cows from the total:

Goats' water = Total water - Sheep's water - Horses' water - Cows' water Goats' water = 17,674 liters - 3,120 liters - 4,310 liters - 7,430 liters Goats' water = 2,814 liters

And there you have it! The goats drink 2,814 liters of water. That's a good amount, but they're not quite as thirsty as the cows!

By carefully working through each step, we've solved the problem. Awesome job, team!

Detailed Explanation of the Solution

Let's break down the logic behind the solution, making sure everyone's on the same page. The key here is to approach the problem in a systematic way. We used a step-by-step approach because it helps us to manage the problem with ease. Here is a review of our actions and the reasons behind them.

• Calculate Horses' Water Consumption: We start by finding out how much water the horses drink. The problem states they drink 1,190 liters more than the sheep. So, we add 1,190 liters to the sheep's consumption to find the horses' water consumption. This is a simple addition problem, ensuring we know how much water the horses consume.
• Calculate Cows' Water Consumption: Next, we figure out how much water the cows drink. The problem tells us the cows drink as much as the sheep and horses combined. So, we add the water consumption of the sheep and horses together. This step is about combining known quantities to find a new total, which is fundamental to many mathematical problems.
• Calculate Goats' Water Consumption: This is our final step. We subtract the water consumption of the sheep, horses, and cows from the total water consumption to find out how much water the goats drink. This involves taking the entire consumption and taking out what we know, leaving us with what is left, and giving us the amount of water the goats consume.

The detailed steps help us understand the complete process. This approach is useful for similar word problems, helping you to handle any mathematical challenge. Remember, practice makes perfect! The more you solve these types of problems, the easier they become. Keep up the great work!

Tips and Tricks for Solving Word Problems

Word problems can seem intimidating, but they become much easier once you understand how to approach them. Here are a few tips and tricks to help you excel at solving these types of problems:

• Read Carefully: The first and most important step is to read the problem very carefully. Understand what the problem is asking. Identify the key information and any hidden details. Sometimes, a detail is not needed, but it's important to know what information is important for finding the solution.
• Identify the Knowns and Unknowns: What information is provided? What do you need to find out? Write down everything you know and what you're trying to figure out. This helps to make sure you have everything laid out and organized.
• Break It Down: Divide the problem into smaller, more manageable steps. This makes the problem less intimidating and easier to solve. Just like we did with our farm problem, break down the problem to smaller steps.
• Use Visual Aids: Drawing diagrams or making tables can help you visualize the problem and organize the information. This can make complex problems easier to understand and solve. If the problem involves shapes or objects, drawing them can be helpful.
• Choose the Right Operations: Determine which mathematical operations (addition, subtraction, multiplication, division) you need to use. Decide what you need to do with the information to solve the problem.
• Check Your Answer: After you solve the problem, always check your answer. Does it make sense in the context of the problem? Reread the problem and make sure your solution addresses the question that was asked. Double-check your calculations to avoid simple mistakes.
• Practice, Practice, Practice: The more word problems you solve, the better you'll become. Practice regularly to improve your problem-solving skills and build confidence. Work on various types of problems to become more versatile.

By using these tips, you'll be well-equipped to tackle word problems with confidence. Keep practicing, and you'll be amazed at how quickly your skills improve!

Conclusion: You Did It!

Congratulations, guys! You've successfully solved the farm water consumption problem. You've learned how to break down complex problems into smaller, more manageable steps. You've also seen how important it is to carefully read and understand the problem before attempting to solve it. Remember the tips and tricks we discussed. Apply these skills and strategies to tackle even more challenging word problems. Keep practicing and keep up the great work. Math can be fun when approached step-by-step. Keep exploring the world of math, and you'll discover new and interesting things. Until next time, keep solving, keep learning, and keep having fun! You've got this!