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Question 18
In a survey of 93 pet owners, 56 said they own a dog, and 59 said they own a cat. 45 said they
own both a dog and a cat. How many owned a dog but not a cat?
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In a survey of 93 pet owners, 56 said they own a dog, and 59 said they own a cat. 45 said they
own both a dog and a cat. How many owned a dog but not a cat?
Answer
Question Help: Message instructor
Submit Question
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Ask by Carter Craig. in the United States
Mar 22,2025
Upstudy AI Solution
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Answer
11 owners
Solution
The number of pet owners who own a dog but not a cat is calculated as follows:
- Write the total number of dog owners as
. - Write the number of owners who have both a dog and a cat as
. - Subtract the number of owners of both pets from the total number of dog owners:
The answer is
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Simplify this solution Beyond the Answer
To find out how many pet owners own a dog but not a cat, we can use the principle of set theory. We know that:
- Total dog owners (D) = 56
- Total cat owners © = 59
- Owners of both (B) = 45
The formula to find those who own only a dog (D only) is: D only = D - B. Plugging in the numbers, we get:
D only = 56 - 45 = 11.
Thus, the final answer is
Here’s a fun fact: Did you know that dogs are believed to have been domesticated over 15,000 years ago? They were likely the first animal to be domesticated by humans, serving roles from hunting partners to loving companions!
In contrast, cats were domesticated much later, around 9,000 years ago in the Near East. Their subtle yet mysterious demeanor has made them part of various cultures and myths, often being revered as symbols of grace throughout history.
