Question

In a survey of 77 pet owners, 39 said they own a dog, and 13 said they own a cat. 9 said they own both a dog and a cat. How many owned a cat but not a dog

Answer 1

Step 1. The information that we have is:

• There are 77 pet owners,

,

• 39 own a dog

,

• 13 own a cat

,

• 9 own both a dog and a cat

Required: How many owned a cat but not a dog?

Step 2. We can make a Venn diagram using the provided information:

The diagram represents the given information where each circle represents a type of pet, and 9 is the value of those who have both a dog and a cat at the intersection of the circles.

Step 3. As we can see, we are asked how many own a cat but not a dog:

To find this, we subtract 9 from 13:

`13-9=4`

4 people own only a cat and not a dog.

Answer:

4