Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 18, 2023

Find the number of pet owners who own a dog but not a cat, given that 136 pet owners were surveyed, 94 own a dog, 12 own a cat, and 2 own both. $\text{Answer} = \square \text{ owners}$

STEP 1

Assumptions1. The total number of pet owners is136. . The number of dog owners is94.
3. The number of cat owners is12.
4. The number of owners who have both a dog and a cat is.

STEP 2

First, we need to find the number of dog owners who do not own a cat. We can do this by subtracting the number of owners who have both a dog and a cat from the total number of dog owners.
$\text{Dog owners without a cat} = \text{Total dog owners} - \text{Owners with both a dog and a cat}$

STEP 3

Now, plug in the given values for the total number of dog owners and the number of owners who have both a dog and a cat to calculate the number of dog owners without a cat.
$\text{Dog owners without a cat} =94 -2$

STEP 4

Calculate the number of dog owners without a cat.
$\text{Dog owners without a cat} =94 -2 =92$ So,92 owners have a dog but not a cat.

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