At an airport, 25% of the flights arrive from within the state, 35% from out of state, and the rest from other countries. How many flights arrived from out of state, if a total of 240 flights arrived?
The Correct Answer and Explanation is:
To determine how many flights arrived from out of state at the airport, we need to calculate the percentage of the total flights represented by that category.
Step 1: Understand the total number of flights
We know that the total number of flights that arrived at the airport is 240.
Step 2: Identify the percentage of flights arriving from out of state
The problem states that 35% of the flights arrived from out of state. This means that we can find the number of out-of-state flights by applying this percentage to the total number of flights.
Step 3: Calculate the number of out-of-state flights
To find the number of out-of-state flights, we can use the formula:
[
\text{Number of out-of-state flights} = \left( \text{Percentage of out-of-state flights} \times \text{Total flights} \right)
]
Plugging in the numbers:
[
\text{Number of out-of-state flights} = 0.35 \times 240
]
Calculating this gives:
[
\text{Number of out-of-state flights} = 84
]
Conclusion
Thus, 84 flights arrived from out of state.
Explanation of the Calculation
In this calculation, we first established the context by identifying the total number of flights arriving at the airport, which is crucial for understanding the distribution of flights based on their origin. The percentages given (25% from within the state, 35% from out of state, and the remaining percentage from other countries) provided a clear breakdown of how flights are categorized.
Next, we focused on the specific category of interest: flights arriving from out of state. By applying the percentage (35%) to the total flights (240), we calculated the exact number of flights from that category. This method highlights how percentages can be effectively used to break down larger quantities into specific, manageable components, allowing for better understanding and analysis of data related to flight origins. The calculated result not only answers the question but also exemplifies a straightforward application of basic percentage calculations in real-world scenarios, such as airport traffic analysis.