xercises - Sets core: $26 / 42 \quad 13 / 21$ answered Question 14 In a survey of 103 pet owners, 40 said they own a dog, and 72 said they own a cat. 30 said they own both a dog and a cat. How many owned a cat but not a dog? Answer = owners Question Help: Video Submit Question

Step 1 ：The question is asking for the number of pet owners who own a cat but not a dog. From the given information, we know that 72 people own a cat and 30 people own both a cat and a dog.

Step 2 ：Therefore, to find the number of people who own a cat but not a dog, we need to subtract the number of people who own both a cat and a dog from the total number of cat owners.

Step 3 ：Let's denote the total number of cat owners as \(total\_cat\_owners = 72\), and the number of owners who have both a cat and a dog as \(both\_cat\_and\_dog\_owners = 30\).

Step 4 ：Subtracting these two values, we get the number of owners who have a cat but not a dog: \(cat\_only\_owners = total\_cat\_owners - both\_cat\_and\_dog\_owners = 72 - 30 = 42\).

Step 5 ：Final Answer: The number of pet owners who own a cat but not a dog is \(\boxed{42}\).