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In a survey of 137 pet owners, 36 said they own a dog, and 99 said they own a cat. 31 said they own both a dog and a cat. How many owned neither a cat nor a dog?

User Ammerzon
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1 Answer

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Solution

- To solve this question, we need to apply the formula below:


\text{ Total people in survey }=\text{ Dog owners + Cat owner-Cat and Dog owners +Those that own neither.}

- We have been given:


\begin{gathered} \text{ Total people in survey}=137 \\ \text{ Dog owners}=36 \\ \text{ Cat owners}=99 \\ \text{ Cat and Dog owners}=31 \end{gathered}

- Thus, we can apply the formula above to find those that have neither cats nor dogs.

- This is done below:


\begin{gathered} 137=36+99-31+X\text{ \lparen where, }X\text{ represents those who own neither dogs nor cats\rparen} \\ 137=104+X \\ \text{ Subtract 104 from both sides} \\ \therefore X=137-104 \\ \\ X=33 \end{gathered}

Final answer

The number of people that own neither cat nor a dog is 33

User Helgi
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