In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both.

Practice Questions

Q1
In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?
  1. 30
  2. 60
  3. 90
  4. 120

Questions & Step-by-Step Solutions

In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?
  • 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.
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