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:
[tex]13-9=4[/tex]
4 people own only a cat and not a dog.
Answer:
4
