In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like neither sport?
Practice Questions
1 question
Q1
In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like neither sport?
30
50
70
80
The number of people who like at least one sport is: 120 + 80 - 50 = 150. Therefore, those who like neither is: 200 - 150 = 50.
Questions & Step-by-step Solutions
1 item
Q
Q: In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like neither sport?
Solution: The number of people who like at least one sport is: 120 + 80 - 50 = 150. Therefore, those who like neither is: 200 - 150 = 50.
Steps: 6
Step 1: Identify the total number of people in the group, which is 200.
Step 2: Identify how many people like football, which is 120.
Step 3: Identify how many people like basketball, which is 80.
Step 4: Identify how many people like both sports, which is 50.
Step 5: Calculate the number of people who like at least one sport using the formula: (people who like football) + (people who like basketball) - (people who like both). This gives us: 120 + 80 - 50 = 150.
Step 6: To find out how many people like neither sport, subtract the number of people who like at least one sport from the total number of people: 200 - 150 = 50.
