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Percentage of folk music is 30%
if 20 people liked folk music how many people were surveyed?
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Percentage of folk music is 30%if 20 people liked folk music how many ...
Understanding the Problem
To find out how many people were surveyed based on the given percentage of folk music enthusiasts, we can use the information provided. We know that 30% of the surveyed people liked folk music, and that number is equivalent to 20 people.
Setting Up the Equation
Let’s denote the total number of people surveyed as \( x \). According to the problem:
- 30% of \( x \) equals 20 people.
This can be represented mathematically as:
\[ 0.30 \times x = 20 \]
Solving for \( x \)
To find \( x \), we need to isolate it in the equation:
- Divide both sides by 0.30:
\[ x = \frac{20}{0.30} \]
- Calculate the value:
\[ x = \frac{20}{0.30} = \frac{20 \times 100}{30} = \frac{2000}{30} \]
- Simplifying the fraction, we get:
\[ x = \frac{2000 \div 10}{30 \div 10} = \frac{200}{3} \approx 66.67 \]
Since we cannot have a fraction of a person, we round to the nearest whole number, which is 67.
Final Answer
Thus, the total number of people surveyed is approximately:
- 67 people
This means that if 30% of the surveyed population liked folk music, then a total of 67 people were surveyed, resulting in 20 people expressing their preference for folk music.
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Percentage of folk music is 30%if 20 people liked folk music how many people were surveyed?
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