Question

a pet store surveyed 449 people to see how many own a dog 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 own a bird? (b) how many of the people own a dog or a bird (or both)? (c) how many of the people do not own both a dog and a bird?

Explanation:

Step1: Find number of bird - owners

To find the number of people who own a bird, we add the number of people who own only a bird and those who own both a bird and a dog. So we add 199 and 66.
$199 + 66$

Step2: Calculate the sum

$199+66 = 265$

Step3: Find number of dog - or - bird owners

To find the number of people who own a dog or a bird (or both), we add the number of people who own only a dog, only a bird, and both. So we add 97, 66 and 199.
$97+66 + 199$

Step4: Calculate the sum

$97+66+199=362$

Step5: Find number of non - both owners

To find the number of people who do not own both a dog and a bird, we add the number of people who own only a dog, only a bird, and those who own neither. So we add 97, 199 and 87.
$97+199 + 87$

Step6: Calculate the sum

$97+199+87 = 383$

Answer:

(a) 265
(b) 362
(c) 383