Question: In a survey of 150 people, 90 like dogs, 70 like cats, and 30 like both. How many people like only cats?
Options:
40
70
90
120
Correct Answer: 40
Solution:
The number of people who like only cats is 70 - 30 = 40.
In a survey of 150 people, 90 like dogs, 70 like cats, and 30 like both. How man
Practice Questions
Q1
In a survey of 150 people, 90 like dogs, 70 like cats, and 30 like both. How many people like only cats?
40
70
90
120
Questions & Step-by-Step Solutions
In a survey of 150 people, 90 like dogs, 70 like cats, and 30 like both. How many people like only cats?
Step 1: Identify the total number of people who like cats, which is 70.
Step 2: Identify the number of people who like both dogs and cats, which is 30.
Step 3: To find the number of people who like only cats, subtract the number of people who like both from the total number of cat lovers: 70 - 30.
Step 4: Calculate the result: 70 - 30 = 40.
Step 5: Conclude that 40 people like only cats.
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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