Question

In a survey of 375 dog and cat owners, there were 215 dog owners and 193 cat owners. How many in the survey own a dog and no cat?

Answer 1

Draw a Venn Diagram (see below)

Explanation:

If you sum the dog and cat owners ...

`215+193=408`

`408` is greater than `375` because the intersection of the two categories (see Venn diagram below) was counted twice . The value of the intersection (both cat and dog owners) is

`408-375=33` own both a cat and a dog .

The count of owners of a dog and no cat is `215-33=182`

hope that helped