Question:
A survey found that 60% of 200 participants preferred coffee over tea. How many participants preferred coffee?
A survey found that 60% of 200 participants preferred coffee over tea. How many participants preferred coffee?
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When calculating percentages, it's often easy to work with fractions. 60% is the same as \( \frac{60}{100} \) or \( \frac{3}{5} \). So, you can calculate \( \frac{3}{5} \times 200 = 3 \times 40 = 120 \).
Updated On: Oct 4, 2025
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Solution and Explanation
Step 1: Understanding the Concept:
This problem asks us to find a percentage of a given total number. We need to calculate 60% of 200.
Step 2: Key Formula or Approach:
To find the number of participants who preferred coffee, we multiply the total number of participants by the percentage (expressed as a decimal or a fraction).
\[ \text{Number} = \text{Total} \times \frac{\text{Percentage}}{100} \] Step 3: Detailed Explanation:
Given:
Total participants = 200
Percentage who preferred coffee = 60%
Using the formula:
\[ \text{Number of coffee drinkers} = 200 \times \frac{60}{100} \] \[ = 200 \times 0.60 \] \[ = 120 \] Alternatively, we can think of 60% as 60 for every 100. Since there are 200 participants (which is 2 hundreds), the number would be \( 60 \times 2 = 120 \).
Step 4: Final Answer:
Therefore, 120 participants preferred coffee.
This problem asks us to find a percentage of a given total number. We need to calculate 60% of 200.
Step 2: Key Formula or Approach:
To find the number of participants who preferred coffee, we multiply the total number of participants by the percentage (expressed as a decimal or a fraction).
\[ \text{Number} = \text{Total} \times \frac{\text{Percentage}}{100} \] Step 3: Detailed Explanation:
Given:
Total participants = 200
Percentage who preferred coffee = 60%
Using the formula:
\[ \text{Number of coffee drinkers} = 200 \times \frac{60}{100} \] \[ = 200 \times 0.60 \] \[ = 120 \] Alternatively, we can think of 60% as 60 for every 100. Since there are 200 participants (which is 2 hundreds), the number would be \( 60 \times 2 = 120 \).
Step 4: Final Answer:
Therefore, 120 participants preferred coffee.
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