At an airport 25% of the files arrived from within the state 35% from out-of-state and the rest from other countries how many flights arrive from out of state if a total of 240 flight arrived?
The Correct Answer and Explanation is:
To determine how many flights arrive from out of state, we need to first understand the percentages and how they relate to the total number of flights that arrived.
Given Data:
- 25% of the flights arrived from within the state.
- 35% of the flights arrived from out of state.
- The remaining flights (which would be from other countries) account for 40% of the total flights.
- The total number of flights that arrived at the airport is 240.
Step-by-Step Calculation:
- Identify the percentage for flights from out of state:
We are told that 35% of the flights came from out of state. - Calculate the number of flights from out of state:
To find the actual number of flights from out of state, we multiply the total number of flights (240) by the percentage (35%) that arrived from out of state.
[
\text{Number of flights from out of state} = 240 \times \frac{35}{100}
] - Perform the multiplication:
[
\text{Number of flights from out of state} = 240 \times 0.35 = 84
]
Thus, 84 flights arrived from out of state.
Explanation:
This problem involves using percentages to calculate a part of the whole (the total number of flights). Here’s a breakdown of the approach:
- Percentage Interpretation: The problem provides percentages (25%, 35%, and 40%) that represent portions of the total 240 flights. Each percentage corresponds to a different group of flights: in-state, out-of-state, and international.
- Using Percentages: To find out how many flights from out of state are included in the 240 flights, you apply the given percentage (35%) to the total number of flights. This is done by converting the percentage to a decimal (35% = 0.35) and multiplying by 240.
- Result Interpretation: The result, 84, tells us that 84 flights came from out of state.
In conclusion, 84 flights arrived from out of state, which is 35% of the total 240 flights that arrived at the airport. This calculation illustrates how percentages can be used to find specific quantities within a total amount.