In a survey of 120 people, 70 like dogs, 50 like cats, and 20 like both. How man

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Question: In a survey of 120 people, 70 like dogs, 50 like cats, and 20 like both. How many people like only cats?

Options:

Correct Answer: 30

Solution:

The number of people who like only cats is |Cats| - |Both| = 50 - 20 = 30.

In a survey of 120 people, 70 like dogs, 50 like cats, and 20 like both. How many people like only cats?

In a survey of 120 people, 70 like dogs, 50 like cats, and 20 like both. How many people like only cats?

Step 1: Identify the total number of people who like cats. This is given as 50.
Step 2: Identify the number of people who like both dogs and cats. This is given as 20.
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. This means you calculate 50 (total cat lovers) - 20 (people who like both) = 30.
Step 4: The result, 30, is the number of people who like only cats.

Set Theory – Understanding the relationships between different groups (sets) and how to calculate the number of elements in each subset.
Venn Diagrams – Using Venn diagrams to visualize the overlap between groups (in this case, people who like dogs and cats).