In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a dog and a cat. How many
Children had neither a dog nor a cat as a pet?
A)31
B)37
C)12
D)19

Question

Quizplus · Accepted Answer

To find the number of children who had neither a dog nor a cat, we first find the total number of children who had either a dog, a cat, or both. We use the principle of inclusion-exclusion: add the number of dog owners (22) to the number of cat owners (18) and subtract the number of children who own both (6) to avoid double counting. This gives us 22 + 18 - 6 = 34 children who have at least one of the pets. Subtracting this from the total number of children (53) gives us 53 - 34 = 19 children who had neither a dog nor a cat.

In a Group of 53 Children, 22 Had a Dog