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)
Practice Questions
1 question
Q1
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)
400
480
600
720
Let the total number of participants be x. According to the problem, 60% of x = 240. Therefore, x = 240 / 0.6 = 400.
Questions & Step-by-step Solutions
1 item
Q
Q: 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)
Solution: Let the total number of participants be x. According to the problem, 60% of x = 240. Therefore, x = 240 / 0.6 = 400.
Steps: 6
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.
