Let's define the variables for the salaries of each coworker:

• Let $W$ be the salary of the warehouse manager.
• Let $O$ be the salary of the office manager.
• Let $T$ be the salary of the truck driver.

We are given three equations based on the information provided:

1. The sum of the annual salaries of the warehouse manager and office manager is $83,000: $W + O = 83000$

2. The office manager makes $8,000 more than the truck driver: $O = T + 8000$

3. The annual salaries of the warehouse manager and the truck driver total $75,000: $W + T = 75000$

Now, let's solve this system of equations step-by-step.

Step 1: Substitute $O$ in Terms of $T$

From the second equation, we know: $O = T + 8000$

Step 2: Substitute $O$ into the First Equation

Substitute $O = T + 8000$ into the first equation: $W + (T + 8000) = 83000$ Simplify this to: $W + T = 75000$

This matches our third equation exactly, indicating we do not have an additional independent equation. Therefore, there could be multiple solutions, and we cannot solve for unique values of $W$, $O$, and $T$ based on the information given.

Thus, the answer is: Infinite Solutions (IS)

If you'd like more details on the approach or other possible interpretations, feel free to ask!

---

Additional Related Questions:

1. How would the answer change if we had an extra condition relating the salaries?
2. What if we only had two coworkers instead of three?
3. Can you set up a similar problem involving different professions and salaries?
4. How can we determine whether a system of equations has no solution, one solution, or infinitely many?
5. Why is it important to have as many independent equations as unknowns in a system?

Tip: When dealing with systems of equations, check if each equation provides unique information to ensure there are enough independent conditions for a unique solution.