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The problem is asking for the total size of the staff in an organization where some are Managers, some have MBAs, and some have both.

### Given Information:
- 90 individuals are both Managers and have an MBA.
- 140 are Managers (with or without an MBA).
- 110 are MBA graduates (with or without being Managers).

### To Find:
The total size of the staff.

### Steps to Solve:

1. **Set up the variables:**
   - Let \( |M \cap B| = 90 \) (those who are both Managers and have MBAs).
   - Let \( |M| = 140 \) (total number of Managers).
   - Let \( |B| = 110 \) (total number of MBA graduates).

2. **Use the principle of inclusion-exclusion** for the total number of unique staff members:
   \[
   |M \cup B| = |M| + |B| - |M \cap B|
   \]
   Substituting the given values:
   \[
   |M \cup B| = 140 + 110 - 90 = 160
   \]

So, the total size of the staff in this organization is **160**.

Would you like more details or have any other questions?

Here are some related questions you might find useful:
1. How would the total size change if the number of managers increased?
2. How would this calculation change if some managers did not have an MBA?
3. How would you find the number of staff members who are only Managers?
4. What if another category, say "Engineers," was introduced?
5. How can this problem be represented using set theory?

**Tip:** Always remember to subtract the overlap when combining two groups to avoid double-counting.

What is the size of the staff in this organization if 140 are Managers (with or without an MBA degree)?

Learn how to find the total size of staff in an organization given the number of managers and MBA graduates. This problem involves key set theory concepts and the inclusion-exclusion principle, suitable for students in Grades 9-12.

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