In a group of 37 children, 14 had a dog, 20 had a cat, and 12 had both a dog and a cat. How many children had neither a dog nor a cat as a pet?
23
8
35
15
Is the answer 15? I think it is 15
I agree.
To find the number of children who had neither a dog nor a cat as a pet, we need to subtract the number of children who had either a dog or a cat or both from the total number of children.
Let's break this down step by step:
1. We are given the total number of children, which is 37.
2. We are also given that 14 children had a dog, 20 children had a cat, and 12 children had both a dog and a cat.
To find the number of children who had either a dog or a cat, we add the number of children with a dog (14) and the number of children with a cat (20). However, we need to subtract the number of children who had both a dog and a cat (12) because they were counted twice in the previous step:
14 + 20 - 12 = 22
So, there are 22 children who had either a dog or a cat or both.
Finally, to find the number of children who had neither a dog nor a cat as a pet, we subtract this number from the total number of children:
37 - 22 = 15
Therefore, the correct answer is 15. Great job!