Condo Election: How Many Voted For The Winner?
Let's break down this math problem step by step, guys! We're dealing with a scenario where a condominium has 500 residents, but only a fraction of them participated in the election for the sindico (trustee). Our goal is to figure out how many people actually voted for the winner. So, grab your thinking caps, and let's dive in!
Understanding the Attendance Rate
First, we know that the condo has 500 residents, but only 18% of them showed up to vote. To find out how many people that is, we need to calculate 18% of 500. Here's how we do it:
- Convert the percentage to a decimal: 18% = 0.18
- Multiply the decimal by the total number of residents: 0.18 * 500 = 90
So, 90 people actually attended the election. That's a pretty low turnout, but hey, every vote counts, right? This attendance number is crucial because it sets the stage for the next part of the problem: figuring out how many of these 90 people voted for the winning candidate. Remember this number, because it's the key to unlocking the final answer. Understanding the initial participation helps contextualize the winner's support base. It highlights the importance of each individual vote and the impact even a small group can have on the overall outcome. With only 18% of the residents participating, the winning candidate's victory might not represent the entire condominium's sentiment, making it even more essential to analyze the numbers carefully. Plus, knowing the attendance rate can spark discussions about how to improve voter turnout in future elections, ensuring that a larger portion of the community's voice is heard. After all, a higher participation rate leads to a more representative and legitimate election result, fostering a stronger sense of community and shared decision-making. Let's move forward and uncover how many votes the winner secured from this limited pool of attendees.
Calculating the Winner's Votes
Now that we know 90 people voted, we need to figure out how many of them voted for the winner. The problem states that 60% of the attendees voted for the winner. Let's calculate that:
- Convert the percentage to a decimal: 60% = 0.60
- Multiply the decimal by the number of attendees: 0.60 * 90 = 54
Therefore, 54 people voted for the winner. That's the final answer! It's interesting to see how a small percentage of the total population actually determined the outcome of the election. This situation underscores the importance of actively participating in community decisions. Each vote truly matters, especially when the turnout is low. It's essential to consider the implications of such a result. Does the winner truly represent the interests of the entire condominium, or just the 60% of the 18% who voted for them? This type of analysis can lead to important discussions about community engagement and the need for greater participation in future elections. Maybe the condominium association could explore different strategies to encourage more residents to vote, such as holding the election at a more convenient time, providing more information about the candidates, or even offering incentives for participation. Ultimately, the goal is to ensure that the sindico is elected by a majority that truly reflects the will of the community. Now, let's recap the entire process to make sure we've got a solid understanding of how we arrived at the answer.
Summary of the Solution
To recap, here's how we solved the problem:
- Calculated the number of attendees: 18% of 500 = 90 people
- Calculated the number of votes for the winner: 60% of 90 = 54 people
So, the winner received 54 votes. It's a straightforward calculation once you break it down into smaller steps. Remember, when dealing with percentage problems, always convert the percentage to a decimal before multiplying. Also, pay close attention to what the question is asking. In this case, we weren't interested in the percentage of the total population who voted for the winner, but rather the actual number of votes they received. Understanding the question is half the battle! Now that we have successfully navigated this math problem, let's reflect on the broader implications of low voter turnout and how communities can encourage greater participation in important decisions. It's not just about the numbers; it's about ensuring that everyone's voice is heard and that the leadership truly represents the collective will of the residents. This type of problem-solving exercise can also be applied to various real-world scenarios, such as analyzing survey results, understanding market trends, or even managing personal finances. The key is to break down complex problems into smaller, more manageable steps, and to carefully consider the information you have at hand. With a little practice, you'll become a master of percentages and a champion of problem-solving!
In conclusion, 54 people voted for the winner in the condominium election. Math can be fun, especially when it helps us understand real-world situations!