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?A. 24 B. 36 C. 60 D. 84
Real Tutor Solution
Quick Answer
D. 84
Step-by-step Solution
Given:
- 25% of flights are from within the state.
- 35% of flights are from out of state.
- The total number of flights is 240.
To find the number of flights from out of state:
\[\text { Number of out- of- state flights} = 35\% \text { of 240} \]
Calculate 35% of 240:
\[0.35 \times 240 = 84\]
Thus, the number of flights that arrived from out of state is 84.
Supplemental Knowledge
Understanding percentages is integral in many aspects of daily life, from shopping discounts and discount analysis, to business, economics and science data analyses. A percentage is defined as any fraction that represents how large or small an amount relative to another quantity may be.
When dealing with percentages, it's often helpful to convert them into fractions or decimals for easier calculations. For example, 25% can be written as \(\frac { 25} { 100} \) or 0.25. This conversion makes it straightforward to multiply by the total quantity to find the part that the percentage represents.
Life in Context
Imagine that you're organizing a community event and need to divide tasks among volunteers. Knowing that 40% are more experienced and can take on complex tasks can help allocate responsibilities more effectively. In business settings, percentages provide insight into market trends, customer preferences and sales performance analysis.
An airline company might approach flight data analysis like any other problem: knowing the percentages of flights coming from specific regions allows them to optimize scheduling, staffing and resource allocation more effectively.
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