In a public health study, researchers found that 20% of a population of 1,000 people tested positive for a virus. How many people in the population tested positive?
Understand the Problem
The question is asking how many people in a population of 1,000 tested positive for a virus given that 20% of them did. This involves calculating 20% of 1,000 to find the answer.
Answer
$200$
Answer for screen readers
The number of people in the population that tested positive is $200$.
Steps to Solve
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Calculate the percentage To find how many people tested positive, we need to calculate 20% of 1,000. This can be done using the formula: $$ \text{Number of people} = \frac{\text{Percentage}}{100} \times \text{Total population} $$
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Substitute the values Substituting the values into the formula: $$ \text{Number of people} = \frac{20}{100} \times 1000 $$
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Perform the calculation Calculating the multiplication: $$ \text{Number of people} = 0.2 \times 1000 = 200 $$
The number of people in the population that tested positive is $200$.
More Information
This calculation helps in understanding the impact of a virus within a specified population. Knowing the number of positive cases is crucial for public health planning and response.
Tips
- Miscalculating the percentage by forgetting to convert it to a decimal (e.g., using 20 instead of 0.2).
- Confusing the total population number with the number of positive cases.
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