Question

a pet store conducted a survey to gather information about the types of pets people own. here are:

• 664 people were surveyed in all
• 388 of the people own a cat
• 331 of the people own a bird
• 210 of the people own both a cat and a bird
• 103 of the people own both a cat and a fish
• 119 of the people own both a bird and a fish
• 67 of the people own all three types of pets (cat, bird, fish)
• 43 of the people dont own any of these three types of pets (cat, bird, fish)

construct a venn diagram illustrating these results. then answer the question.
image: venn diagram with three circles (own a cat, own a bird, own a fish) and “all people in the survey” box. right: “how many of the people own both cat and bird? but dont own a fish? 143 people”

Explanation:

Step1: Identify the overlap of cat and bird only

To find the number of people who own both a cat and a bird but not a fish, we start with the number of people who own both a cat and a bird (210) and subtract the number of people who own all three pets (67), because those 67 are included in the 210 but also own a fish.
\[ 210 - 67 \]

Step2: Calculate the result

\[ 210 - 67 = 143 \]

Answer:

143