In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?
Practice Questions
1 question
Q1
In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?
30
60
90
120
The number of people who like at least one sport is 90 + 60 - 30 = 120, so those who like neither is 150 - 120 = 30.
Questions & Step-by-step Solutions
1 item
Q
Q: In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?
Solution: The number of people who like at least one sport is 90 + 60 - 30 = 120, so those who like neither is 150 - 120 = 30.
Steps: 6
Step 1: Identify the total number of people in the group, 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: Calculate the number of people who like at least one sport using the formula: (people who like basketball) + (people who like soccer) - (people who like both). 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 from the total number of people: 150 - 120 = 30.
