# 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?

##### 1 Answer

Feb 9, 2016

Draw a **Venn Diagram** (see below)

#### Explanation:

If you sum the dog and cat owners ...

**intersection** of the two categories (see Venn diagram below) was **counted twice** . The value of the intersection (both cat and dog owners) is

**own both a cat and a dog** .

The count of **owners of a dog and no cat** is

hope that helped