In a survey of 150 people, 90 like basketball, 60 like soccer, and 30 like both.
Practice Questions
Q1
In a survey of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many like neither sport?
30
60
90
120
Questions & Step-by-Step Solutions
In a survey of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many like neither sport?
Step 1: Identify the total number of people surveyed, which is 150.
Step 2: Identify how many people like basketball, which is 90.
Step 3: Identify how many people like soccer, which is 60.
Step 4: Identify how many people like both sports, which is 30.
Step 5: Use the inclusion-exclusion principle to find the number of people who like at least one sport: Add the number of basketball fans (90) and soccer fans (60), then subtract those who like both (30). This gives us 90 + 60 - 30 = 120.
Step 6: To find out how many people like neither sport, subtract the number of people who like at least one sport (120) from the total number of people surveyed (150). This gives us 150 - 120 = 30.
