Marcelo Viaja Ao Exterior A Cada 15 Meses. A Última Viagem Foi Em Agosto De 2019. Em Qual Ano Marcelo Viajará Novamente Em Agosto?

Marcelo's travel schedule presents an interesting mathematical puzzle. The question at hand is to determine the year in which Marcelo will next travel abroad in August, given his pattern of traveling every 15 months and his last trip in August 2019. This involves understanding cyclical patterns and applying basic arithmetic to predict future events based on past occurrences. Let's dive into the details of Marcelo's travel habits and unravel the mystery of his next August trip abroad. We need to calculate the number of months that need to pass from August 2019 until his next trip in August. First, we determine the number of months between each trip, which is 15 months. Then, we need to figure out how many 15-month intervals it will take for Marcelo to travel again in August. We can do this by looking at the pattern of months and years and identifying when the 15-month intervals will align with the month of August. This is not just a simple calculation; it requires careful consideration of how months and years cycle. By working through this problem, we can see how mathematical concepts can be applied to real-life situations, such as planning and predicting future events. The solution to this puzzle will not only tell us when Marcelo will travel next but also demonstrate the practical application of mathematical reasoning. Understanding these types of problems can help improve our problem-solving skills and our ability to make accurate predictions based on patterns and data.

Understanding the Problem: Marcelo's Travel Pattern

To solve this intriguing problem, we must first break it down into manageable parts. The key information is that Marcelo travels abroad every 15 months, and his last trip was in August 2019. We need to figure out when his next trip in August will occur. This involves calculating how many 15-month intervals will pass before he travels in August again. The first step is to understand the cyclical nature of months and years. Since there are 12 months in a year, every 12 months, the month returns to its starting point. However, Marcelo travels every 15 months, which is more than a year. This means that each subsequent trip will occur in a different month of the year. To find when he will travel in August again, we need to find a multiple of 15 that, when added to August 2019, results in a future August. This requires a bit of trial and error or a more systematic approach to identifying the pattern. We can start by listing the months of his trips after August 2019, adding 15 months each time, and see when the month falls in August again. This method helps us visualize the progression of his travel dates and identify the year when the pattern aligns with our target month. The challenge lies in the fact that 15 months is not an even multiple of 12 months (a year), so the months will shift with each trip. Therefore, a careful and methodical approach is necessary to solve this puzzle accurately. This problem highlights how mathematics can be used to predict future events based on recurring patterns and intervals, a skill that is valuable in many real-world scenarios, from travel planning to financial forecasting.

Calculating the Next Trip in August

Now, let's delve into the calculations to determine Marcelo's next August trip. We know his last trip was in August 2019, and he travels every 15 months. To find his next trip in August, we need to find out how many 15-month intervals it will take for him to travel in August again. Let's list out the dates of his trips, adding 15 months each time: August 2019, November 2020 (August 2019 + 15 months), February 2022 (November 2020 + 15 months), May 2023 (February 2022 + 15 months), August 2024 (May 2023 + 15 months). By listing the dates, we can see that Marcelo will travel again in August 2024. This calculation involves repeatedly adding 15 months and tracking the resulting dates. Each 15-month interval shifts the travel month forward, and it is essential to keep track of the year as well. The key is to continue adding 15 months until the travel date falls in August again. This method demonstrates a practical application of arithmetic in real-life scenarios. Understanding how to calculate future dates based on intervals is a valuable skill in planning and scheduling. This problem also highlights the importance of methodical calculation and attention to detail to avoid errors. The solution is not immediately obvious, but by systematically adding the interval and tracking the months and years, we can arrive at the correct answer. This exercise reinforces the concept of cyclical patterns and how they can be used to predict future events, making mathematics a relevant and useful tool in our daily lives. The final answer of August 2024 provides a clear and concise solution to the problem.

Solution: Marcelo's Next August Trip

Therefore, after performing the calculations, the solution to the problem is that Marcelo will travel abroad again in August 2024. This answer was derived by systematically adding 15-month intervals to his last trip in August 2019 until the travel date fell in August again. The process involved recognizing the cyclical pattern of months and years and applying arithmetic to predict the future travel date. This solution demonstrates the practical application of mathematics in real-life situations, particularly in planning and scheduling events that occur at regular intervals. Understanding how to calculate future dates based on a recurring pattern is a valuable skill that can be applied in various contexts, from personal travel plans to professional project management. The key to solving this problem was the methodical approach of adding the 15-month interval and tracking the resulting dates. This ensures accuracy and avoids errors that might arise from mental calculations or estimations. The problem also highlights the importance of attention to detail and the ability to visualize the progression of dates over time. In conclusion, Marcelo's next trip abroad in August will occur in 2024, a result obtained through careful calculation and an understanding of cyclical patterns. This exercise not only provides a specific answer but also reinforces the broader concept of applying mathematical principles to solve practical problems and make accurate predictions.