In a group of 50 people, 30 like football, 25 like basketball, and 10 like both.

Practice Questions

Q1
In a group of 50 people, 30 like football, 25 like basketball, and 10 like both. How many people like neither sport?
  1. 15
  2. 20
  3. 10
  4. 5

Questions & Step-by-Step Solutions

In a group of 50 people, 30 like football, 25 like basketball, and 10 like both. How many people like neither sport?
  • Step 1: Identify the total number of people in the group, which is 50.
  • Step 2: Identify how many people like football, which is 30.
  • Step 3: Identify how many people like basketball, which is 25.
  • Step 4: Identify how many people like both sports, which is 10.
  • 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 30 + 25 - 10 = 45.
  • 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: 50 - 45 = 5.
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