Question
5 of the people in Jeanette's neighborhood have seen a wolf. 5 people have seen a skunk, and 3 people have seen both a wolf and a skunk. How many people have seen a wolf or a skunk or both?
Hint: Use a Venn diagram to help you solve the problem.
people
Hint: Use a Venn diagram to help you solve the problem.
people
Answers
GPT-4o mini
To determine how many people have seen a wolf or a skunk or both, we can use the principle of inclusion-exclusion.
Let:
- \( W \) = number of people who have seen a wolf = 5
- \( S \) = number of people who have seen a skunk = 5
- \( B \) = number of people who have seen both a wolf and a skunk = 3
Using the inclusion-exclusion principle, the number of people who have seen either a wolf or a skunk can be calculated as follows:
\[
\text{Total} = W + S - B
\]
Substituting in the values we have:
\[
\text{Total} = 5 + 5 - 3 = 7
\]
Thus, the total number of people who have seen a wolf or a skunk or both is **7 people**.
Let:
- \( W \) = number of people who have seen a wolf = 5
- \( S \) = number of people who have seen a skunk = 5
- \( B \) = number of people who have seen both a wolf and a skunk = 3
Using the inclusion-exclusion principle, the number of people who have seen either a wolf or a skunk can be calculated as follows:
\[
\text{Total} = W + S - B
\]
Substituting in the values we have:
\[
\text{Total} = 5 + 5 - 3 = 7
\]
Thus, the total number of people who have seen a wolf or a skunk or both is **7 people**.