In a survey, 60% of the participants preferred Brand A over Brand B. If 240 part

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Question: In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand A, how many participants were surveyed in total? (2023)

Options:

Correct Answer: 480

Exam Year: 2023

Solution:

Let the total number of participants be x. According to the problem, 60% of x = 240. Therefore, x = 240 / 0.6 = 400.

In a survey, 60% of the participants preferred Brand A over Brand B. If 240 part

Practice Questions

In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand A, how many participants were surveyed in total? (2023)

Questions & Step-by-Step Solutions

In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand A, how many participants were surveyed in total? (2023)

Step 1: Understand that 60% of the total participants preferred Brand A.
Step 2: Let the total number of participants be represented by 'x'.
Step 3: Write the equation based on the information given: 60% of x equals 240. This can be written as 0.6 * x = 240.
Step 4: To find 'x', divide both sides of the equation by 0.6. This gives you x = 240 / 0.6.
Step 5: Calculate 240 divided by 0.6. This equals 400.
Step 6: Conclude that the total number of participants surveyed is 400.

Percentage Calculation – Understanding how to calculate the total from a given percentage of that total.
Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.

In a survey, 60% of the participants preferred Brand A over Brand B. If 240 part

What’s inside this PDF?

In a survey, 60% of the participants preferred Brand A over Brand B. If 240 part

Practice Questions

Questions & Step-by-Step Solutions

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