Suppose Albers Elementary School has 72 teachers and Bothel Elementary School has 20 teachers. If 4 teachers teach at both Albers and Bothel, compute the total number of teachers employed at Albers and Bothel combined.

To calculate the total number of teachers employed at both Albers Elementary and Bothel Elementary, we need to account for the fact that 4 teachers teach at both schools. Without this adjustment, simply adding the number of teachers from both schools would result in double-counting these 4 teachers.

Here’s how to calculate it:

- Albers Elementary has 72 teachers.
- Bothel Elementary has 20 teachers.
- 4 teachers are shared between both schools.

The total number of unique teachers is:

\[
\text{Total Teachers} = 72 + 20 - 4 = 88
\]

Thus, the total number of unique teachers employed at Albers and Bothel combined is **88**.

Would you like further clarification or details?

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Here are 5 related questions for you to consider:

1. How would the answer change if 5 teachers worked at both schools instead of 4?
2. What if Albers had 10 more teachers and Bothel had 5 fewer teachers?
3. How many total teachers would there be if no teachers worked at both schools?
4. If a third school also shared teachers, how would you adjust the calculation?
5. How does set theory help in solving this kind of problem involving overlapping groups?

**Tip:** When solving problems involving overlapping groups, using the inclusion-exclusion principle helps avoid double-counting.

Learn how to calculate the total number of teachers employed at both Albers and Bothel Elementary Schools by using the Inclusion-Exclusion Principle. This problem involves understanding set theory and avoiding double-counting of teachers. Suitable for students in Grades 6-8.

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