Question

a pet store surveyed 133 people to see how many own a cat and how many own a bird. 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 do not own a cat? people (b) how many of the people own a cat or a bird (or both)? people (c) how many of the people own a cat but do not own a bird? people

Explanation:

Step1: Find number of non - cat owners

Non - cat owners are those in the "Own a bird" circle and the outside region. So we add the number of people who own only a bird and those who own neither.
$54 + 17=71$

Step2: Find number of cat or bird owners

We add the number of people who own only a cat, only a bird, and both.
$36+26 + 54=116$

Step3: Find number of cat - only owners

The number of people who own a cat but not a bird is the number in the "Own a cat" circle that is not in the intersection. So it is 36.

Answer:

(a) 71 people
(b) 116 people
(c) 36 people