- Identify the total number of students surveyed: \(950\).
- Identify the percentage who feel more focused: \(80\%\).
- Convert the percentage to a decimal: \(80\% = 0.8\).
- Multiply the total by the decimal: \(950 \times 0.8 = \boxed{760}\).
Explanation
- Data and problem analysis
The problem asks us to determine the number of students who feel more focused after exercising. We are given that 80% of the 950 students surveyed reported feeling more focused. To find the specific number of students, we need to calculate 80% of 950.
- Calculating the number of students
We know that 80% can be represented as a decimal or a fraction:
\[80\% = 0.8 = \frac{80}{100} = \frac{4}{5}.\]
To find 80% of 950, we multiply the total number of students by this fraction:
\[\text{Number of students} = 0.8 \times 950 = \frac{4}{5} \times 950.\]
Performing the multiplication, we calculate:
\[\frac{4}{5} \times 950 = 4 \times \left(\frac{950}{5}\right) = 4 \times 190 = 760.\]
Therefore, 760 students reported feeling more focused after exercising.
- Final Conclusion
Based on the calculation, the number of students who said they feel more focused after exercising is 760. Comparing this result with the given options, we select 760.
Thus, the final answer is \(\boxed{760}\).
Examples
Understanding percentages is essential in everyday life for tasks like calculating discounts while shopping, determining tips at a restaurant, or analyzing survey data. For instance, if a clothing store offers a 30% discount on a item, you can quickly calculate the savings by multiplying the price by 0.30. Mastering this skill allows you to quickly evaluate numerical information in various real-world situations, helping you make informed decisions.