Question: In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How many people like only dogs?
Options:
50
40
30
20
Correct Answer: 50
Solution:
The number of people who like only dogs is 90 - 40 = 50.
In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How man
Practice Questions
Q1
In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How many people like only dogs?
50
40
30
20
Questions & Step-by-Step Solutions
In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How many people like only dogs?
Step 1: Identify the total number of people who like dogs, which is 90.
Step 2: Identify the number of people who like both dogs and cats, which is 40.
Step 3: To find the number of people who like only dogs, subtract the number of people who like both from the total number of dog lovers: 90 - 40.
Step 4: Calculate the result: 90 - 40 = 50.
Step 5: The final answer is that 50 people like only dogs.
Set Theory – Understanding the relationships between different groups (in this case, people who like dogs and cats) and how to calculate exclusive preferences.
Venn Diagrams – Using Venn diagrams to visualize the overlap between two sets (dog lovers and cat lovers) to find exclusive counts.
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