Given
241 people were surveyed
182 own a cat
66 own a dog
39 own both a cat and a dog
The Venn diagram illustrating the the results of the survey is shown below:
The simplified version of the Venn diagram:
The number of people that own a cat but not a dog
[tex]\begin{gathered} =\text{ Number of people that own a cat - Number of people that own both} \\ =\text{ 182-39} \\ =\text{ 143} \end{gathered}[/tex]
Answer: 143
Number of people that own a cat or a dog or both
[tex]\begin{gathered} =\text{ Number of people that own a cat only + Number of people that own a dog only + Number of } \\ people\text{ that own both} \\ =\text{ 143 + 27 + 39} \\ =\text{ 209} \end{gathered}[/tex]
Answer: 209
