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?
Practice Questions
1 question
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?
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The number of people who like either dogs or cats is 30 + 25 - 10 = 45. Therefore, those who do not like either is 50 - 45 = 5.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution: The number of people who like either dogs or cats is 30 + 25 - 10 = 45. Therefore, those who do not like either is 50 - 45 = 5.
Steps: 6
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.
