In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand B, how many participants were surveyed in total?
Practice Questions
1 question
Q1
In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand B, how many participants were surveyed in total?
400
600
800
1000
Let the total number of participants be x. According to the problem, 40% of x = 240. Therefore, x = 240 / 0.4 = 600.
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 B, how many participants were surveyed in total?
Solution: Let the total number of participants be x. According to the problem, 40% of x = 240. Therefore, x = 240 / 0.4 = 600.
Steps: 7
Step 1: Understand that 60% of the participants preferred Brand A, which means 40% preferred Brand B.
Step 2: Let the total number of participants be represented by 'x'.
Step 3: Since 40% of the participants preferred Brand B, we can write this as 0.4 * x = 240.
Step 4: To find 'x', we need to solve the equation 0.4 * x = 240.
Step 5: Divide both sides of the equation by 0.4 to isolate 'x': x = 240 / 0.4.
Step 6: Calculate 240 divided by 0.4, which equals 600.
Step 7: Therefore, the total number of participants surveyed is 600.
