Question

a pet store surveyed 178 people to see how many own a bird and how many own a dog. the venn diagram below shows the results. (each number gives the number of people who fall into that venn diagram category.) (a) how many of the people own a dog? (b) how many of the people own a bird or a dog (or both)? (c) how many of the people do not own both a bird and a dog?

Explanation:

Step1: Find number of dog - owners

Add the number of people who own only a dog and those who own both a bird and a dog.
$28 + 39=67$

Step2: Find number of bird - or - dog owners

Add the number of people who own only a bird, only a dog, and both.
$37+39 + 28=104$

Step3: Find number of people who don't own both

Subtract the number of people who own both from the total number of people surveyed.
$178-39 = 139$

Answer:

(a) 67
(b) 104
(c) 139