Argemiro's Finances: Calculating Remaining Money

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Hey guys! Let's break down this financial puzzle about Argemiro's spending and figure out exactly how much money he's got left in his pocket. This is a classic problem that mixes fractions, subtraction, and addition, so it's a great exercise in everyday math. Grab your calculators (or your thinking caps!) and let's dive in!

Understanding Argemiro's Initial Spending

So, the core of our problem revolves around understanding how Argemiro spent his money. He started with R$ 375.00, and the first thing he did was spend a fraction of that amount. Specifically, he spent 2/5 of his initial money, but there's a little twist – he actually spent 2/5 of the money minus R$ 6.00. This is a crucial detail because we can't just calculate 2/5 of R$ 375.00 and call it a day. We need to subtract that extra R$ 6.00 to find the exact amount of his first spending spree.

Let's break it down step by step. First, we need to calculate what 2/5 of R$ 375.00 actually is. To do this, we multiply the total amount (R$ 375.00) by the fraction (2/5). This looks like this: (2/5) * R$ 375.00. When we do the math, we find that 2/5 of R$ 375.00 is R$ 150.00. But remember, Argemiro didn't just spend R$ 150.00; he spent R$ 150.00 less R$ 6.00. So, our next step is to subtract R$ 6.00 from R$ 150.00. This gives us R$ 144.00. This is the actual amount Argemiro spent initially.

Now that we know how much he spent initially, we need to figure out how much money he had left after this first spending. This is a straightforward subtraction problem. We started with R$ 375.00, and Argemiro spent R$ 144.00. So, we subtract R$ 144.00 from R$ 375.00: R$ 375.00 - R$ 144.00. This leaves Argemiro with R$ 231.00. Okay, we've got the amount he had after the first transaction – progress! But Argemiro isn't done spending yet, so let's move on to the next phase of his financial adventure.

Argemiro's Second Round of Spending

Okay, so Argemiro has R$ 231.00 left, and it's time for round two of spending! This time, he spends a third of what he has left plus an additional amount. Specifically, he uses a third of the remaining money and then tacks on another R$ 18.00. Just like before, this “plus” part adds a little twist to the calculation. We can’t just figure out one-third and call it a day; we need to add that extra R$ 18.00 to get the total amount spent this time.

Let's break it down, step-by-step, just like we did before. First, we've got to figure out what one-third of R$ 231.00 is. To do this, we divide R$ 231.00 by 3, because finding a third of something is the same as dividing it into three equal parts. When we do the division, we find that one-third of R$ 231.00 is R$ 77.00. But remember, Argemiro spent R$ 77.00 plus R$ 18.00. So, our next step is to add R$ 18.00 to R$ 77.00. This addition gives us R$ 95.00. This is the total amount Argemiro spent in this second round.

Now that we know how much Argemiro spent the second time, we need to calculate how much money he has left after this spending. Again, this is a subtraction problem. He had R$ 231.00, and he spent R$ 95.00. So, we subtract R$ 95.00 from R$ 231.00: R$ 231.00 - R$ 95.00. Doing this subtraction, we find that Argemiro has R$ 136.00 left. Wow, he's been doing a lot of spending! But we're almost there – we've calculated how much he has remaining.

Finding Argemiro's Final Amount

Alright, guys, we've made it to the final calculation! After all the spending, we know that Argemiro has R$ 136.00 remaining. This means that, after spending 2/5 of his initial amount (minus R$ 6.00) and then spending a third of what was left (plus R$ 18.00), Argemiro is left with R$ 136.00.

Now, looking at the answer options provided:

  • A) R$ 150,00
  • B) R$ 200,00
  • C) R$ 100,00
  • D) R$ 75,00

None of these options match our calculated answer of R$ 136.00. This could mean a few things:

  1. There might be a typo in the provided answer choices.
  2. We might have made a small error in our calculations (though we've double-checked!).
  3. The question itself might have a slight error.

In a real-world scenario, if you encountered this on a test, you might want to double-check your work quickly. If you're confident in your calculations and none of the answers match, it's a good idea to bring it to the attention of whoever is administering the test. They can clarify if there's an error in the options or the question itself.

Key Takeaways and Real-World Relevance

This problem, while seemingly simple, highlights the importance of breaking down complex financial situations into smaller, more manageable steps. We tackled this by:

  1. Carefully reading and understanding the problem.
  2. Breaking the problem into sequential steps (calculating each spending phase).
  3. Performing the arithmetic accurately (multiplication, division, subtraction, addition).
  4. Double-checking our work (always a good idea!).

Problems like this aren't just academic exercises; they actually reflect the kinds of calculations we do in everyday life. Think about budgeting, managing expenses, or even figuring out discounts at the store. Understanding how to work with fractions, percentages, and multiple steps in a calculation is a valuable skill. The key takeaway here is to always take your time, break down the problem, and double-check your work! Finances can be tricky, but with a methodical approach, you can master them.

So, even though none of the provided answer options matched our solution, the process of solving this problem was the real win. We strengthened our math skills and gained a little more confidence in our ability to tackle real-world financial scenarios. Keep practicing, guys, and you'll become financial whizzes in no time!