¿Cuánto Ganó Jerónimo? Un Problema De Kilos Y Ganancias

Hey guys! Let's dive into a fun math problem! We're going to help Jerónimo figure out how much money he made after buying and selling some beans. This problem is a great way to practice some basic math skills, like multiplication and subtraction, and understand how to calculate profit. So, grab your pencils and let's get started! The question is: "Jerónimo compra 3.8 toneladas de pallares a S/. 2.40 el kilo. Si vende el kilo a S/. 1.50, ¿cuánto ganó en total?" (Jerónimo buys 3.8 tons of beans at S/. 2.40 per kilo. If he sells the kilo at S/. 1.50, how much did he earn in total?)

Understanding the Problem and Gathering the Facts

Alright, first things first, let's break down what the problem is asking us. Jerónimo is buying and selling beans, and we need to figure out how much money he earned (his profit). To do this, we need to know a few things:

• How much did Jerónimo buy? He bought 3.8 tons of beans.
• How much did each kilo of beans cost him? He paid S/. 2.40 per kilo.
• How much did he sell each kilo for? He sold the beans for S/. 1.50 per kilo.

Now, before we start crunching numbers, we need to make sure all our units are the same. We have tons and kilos, and we need to convert tons to kilos. Remember, 1 ton is equal to 1000 kilograms. This conversion is super important; otherwise, we'll end up with the wrong answer! Think of it like this: you can't compare apples and oranges unless you convert them to the same units, like pieces of fruit!

So, let's convert those tons into kilos. This will set us up for the rest of the problem, allowing us to accurately calculate the total cost and revenue related to Jerónimo's bean business. Keeping track of units is a fundamental skill in mathematics and real-world applications. By ensuring our units are consistent, we minimize errors and maintain the integrity of our calculations. This step ensures we're comparing apples to apples and helps us avoid costly mistakes in the future.

Converting Tons to Kilograms: The First Step

Okay, let's get down to business and convert those tons into kilos. As we mentioned, we know that 1 ton equals 1000 kilograms. Jerónimo bought 3.8 tons, so we're going to multiply 3.8 by 1000 to find out how many kilograms he purchased. This is a straightforward multiplication problem, but let's take it step by step to ensure we get it right.

• Start with the given: 3.8 tons
• Conversion factor: 1 ton = 1000 kg
• Multiply: 3.8 tons * 1000 kg/ton = 3800 kg

See? It's that simple! Jerónimo bought 3800 kilograms of beans. Now we're dealing with the same unit, and we can proceed with the calculations. This step is a cornerstone of our problem-solving strategy, and without it, our later calculations would be based on an incorrect premise. Remember, attention to detail is key in math; a small mistake in the beginning can snowball and impact the entire solution. Now that we've got the total weight in kilograms, we can calculate the total cost of the beans.

Calculating the Total Cost of the Beans

Alright, now that we know Jerónimo bought 3800 kilograms of beans, let's figure out how much he spent on them. The problem tells us that he paid S/. 2.40 per kilo. To find the total cost, we need to multiply the number of kilos by the price per kilo. This is another straightforward multiplication problem, but let's break it down to make sure we understand each step.

• Kilos purchased: 3800 kg
• Price per kilo: S/. 2.40
• Multiply: 3800 kg * S/. 2.40/kg = S/. 9120

So, Jerónimo spent S/. 9120 to buy the beans. This is the initial investment he made. Without knowing this, we can't figure out his profit. This calculation provides the baseline for our profit calculation. Understanding costs is critical in any business; it tells you how much money you need to make to break even and start making a profit. Think about it like this: if you don't know your costs, you won't know if you're making or losing money! Now that we know the cost, let's see how much money Jerónimo made when he sold the beans.

Calculating the Total Revenue from Selling the Beans

Now, let's find out how much money Jerónimo made when he sold the beans. We know he had 3800 kilograms of beans and sold them at S/. 1.50 per kilo. To calculate his total revenue (the total amount of money he received from selling the beans), we need to multiply the number of kilos by the selling price per kilo.

• Kilos sold: 3800 kg
• Selling price per kilo: S/. 1.50
• Multiply: 3800 kg * S/. 1.50/kg = S/. 5700

So, Jerónimo made S/. 5700 by selling the beans. This is the total amount of money he received from his sales. This is a crucial step because it gives us the other part of the equation – the revenue. Revenue is the lifeblood of any business; it's the money that comes in. Now that we have both the cost and the revenue, we can finally calculate Jerónimo's profit!

Calculating Jerónimo's Total Profit: The Big Reveal!

Finally, we're at the moment of truth! Now we'll calculate Jerónimo's profit. Profit is the difference between the total revenue (how much money he made from selling the beans) and the total cost (how much he spent to buy the beans). It's essentially the money he has left after covering his expenses. Here's how to calculate it:

• Total Revenue: S/. 5700
• Total Cost: S/. 9120
• Profit = Revenue - Cost: S/. 5700 - S/. 9120 = - S/. 3420

Uh oh, Jerónimo didn't make a profit; he made a loss of S/. 3420. This indicates that Jerónimo spent more money on the beans than he earned from selling them. This is a good lesson in business. It highlights the importance of making sure you're selling a product for more than it costs you to buy it. Always ensure your selling price is high enough to cover your expenses and generate a profit. Now you've solved this math problem step by step, and you have understood the concept of how to calculate profit and loss.

Key Takeaways and Things to Remember

• Units are Important: Always make sure you're using the same units when performing calculations. Convert them if necessary!
• Cost vs. Revenue: Understand the difference between what something costs you (cost) and how much money you make from selling it (revenue).
• Profit Calculation: Profit is calculated by subtracting the cost from the revenue (Profit = Revenue - Cost).

Additional Tips for Solving Word Problems

• Read Carefully: Read the problem multiple times to ensure you fully understand what is being asked.
• Identify the Givens: Write down all the information provided in the problem.
• Plan Your Steps: Determine the steps needed to solve the problem before starting your calculations.
• Check Your Work: Review your calculations to ensure accuracy. Double-check your answers and make sure they make sense in the context of the problem.

By following these steps, you can confidently tackle similar problems in the future. Now you know how to solve problems about profit, loss, and the importance of paying attention to detail! Keep practicing, and you'll become a math whiz in no time. If you continue practicing, you'll become a math genius.