Question

You ask 150 people about their pets. The results show that 925 of the people own a dog. Of the people who own a dog, 16 of them also own a cat. A. What fraction of the people own a dog and a cat? Of the people own a dog and a cat. B. How many people own a dog but not a cat? People own a dog but not a cat.

Answer 1

Let us assume the total number of people surveyed be = 1500

People who own a dog = 925

People who also own a cat along with dog = 16

So, people who own only dog = 925-16 = 909

A.

The fraction of people who own both a dog and a cat are = $\frac{925}{1500}$

= $\frac{37}{60}$

B.

Number of people who own a dog and not a cat are = 909

In fraction it will be $\frac{909}{1500}=\frac{303}{500}$