In a group of 50 people, 30 like dogs, 25 like cats, and 10 like both. How many

Practice Questions

Q1
In a group of 50 people, 30 like dogs, 25 like cats, and 10 like both. How many people do not like either dogs or cats?
  1. 5
  2. 10
  3. 15
  4. 20

Questions & Step-by-Step Solutions

In a group of 50 people, 30 like dogs, 25 like cats, and 10 like both. How many people do not like either dogs or cats?
  • Step 1: Identify the total number of people in the group, which is 50.
  • Step 2: Identify how many people like dogs, which is 30.
  • Step 3: Identify how many people like cats, which is 25.
  • Step 4: Identify how many people like both dogs and cats, which is 10.
  • Step 5: Calculate the number of people who like either dogs or cats using the formula: (people who like dogs) + (people who like cats) - (people who like both). This gives us 30 + 25 - 10 = 45.
  • Step 6: To find out how many people do not like either dogs or cats, subtract the number of people who like either from the total number of people: 50 - 45 = 5.
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