Question

the results of a survey of customers at a pet - supply store showed that 38 owned fish, 35 owned turtles, and 18 owned both fish and turtles. how many owned either a fish or a turtle? (type an integer or a decimal.)

Explanation:

Step1: Apply the inclusion - exclusion principle

The formula for \(|A\cup B|\) is \(|A|+|B|-|A\cap B|\), where \(A\) is the set of fish - owners and \(B\) is the set of turtle - owners.
Let \(|A| = 38\), \(|B|=35\), and \(|A\cap B| = 18\).

Step2: Calculate the number of customers who own either a fish or a turtle

\(|A\cup B|=38 + 35-18\)
\(|A\cup B|=55\)

Answer:

55