Question:
In a survey, 70% of respondents preferred product A over product B. If 140 people preferred product A, how many people were surveyed in total?
In a survey, 70% of respondents preferred product A over product B. If 140 people preferred product A, how many people were surveyed in total?
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To solve percentage problems, set up an equation where the percentage is multiplied by the total amount (represented by \( x \)) to equal the known quantity. Then solve for \( x \).
Updated On: Oct 6, 2025
- 180
- 190
- 200
- 210
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The Correct Option is C
Solution and Explanation
Let \( x \) be the total number of people surveyed. The problem states that 70% of the respondents preferred product A. This means that 70% of \( x \) equals 140. We can represent this relationship with the equation:
\[
0.7x = 140.
\]
1. Step 1: Solve for \( x \) To isolate \( x \), divide both sides of the equation by 0.7: \[ x = \frac{140}{0.7}. \]
2. Step 2: Perform the Division Calculate the value of \( x \): \[ x = \frac{140}{0.7} = 200. \] Thus, the total number of people surveyed is: \[ \boxed{200}. \]
1. Step 1: Solve for \( x \) To isolate \( x \), divide both sides of the equation by 0.7: \[ x = \frac{140}{0.7}. \]
2. Step 2: Perform the Division Calculate the value of \( x \): \[ x = \frac{140}{0.7} = 200. \] Thus, the total number of people surveyed is: \[ \boxed{200}. \]
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