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To solve this problem, we need to set up equations for the average yearly salaries of individuals whose final degree is a bachelor's and a master's degree. Let's define the variables:

- Let $ B $ be the average yearly salary (in thousands) for an individual whose final degree is a bachelor's.
- Let $ M $ be the average yearly salary (in thousands) for an individual whose final degree is a master's.

### Step 1: Set Up Equations

1. **Relationship between salaries:**
   The problem states that the average yearly salary of an individual with a master's degree is $41 thousand less than twice that of an individual with a bachelor's degree. This can be written as:
   \[
   M = 2B - 41
   \]

2. **Combined salaries:**
   Two people, one with a bachelor's degree and one with a master's degree, together earn $118 thousand:
   \[
   B + M = 118
   \]

### Step 2: Solve the System of Equations

Substitute the expression for $ M $ from the first equation into the second equation:

\[
B + (2B - 41) = 118
\]

Combine like terms:

\[
3B - 41 = 118
\]

Add 41 to both sides:

\[
3B = 159
\]

Divide by 3:

\[
B = 53
\]

### Step 3: Find $ M $

Now substitute $ B = 53 $ back into the equation for $ M $:

\[
M = 2B - 41 = 2(53) - 41 = 106 - 41 = 65
\]

### Step 4: Conclusion

The average yearly salary for an individual whose final degree is a bachelor's is **$53 thousand**, and the average yearly salary for an individual whose final degree is a master's is **$65 thousand**.

Would you like more details on how the solution was derived or have any questions?

### Related Questions:

1. How would the solution change if the master's salary was a different amount less than twice the bachelor's salary?
2. Can this problem be modeled with different variables or approaches?
3. What is the effect on the total combined salary if both salaries increase by a fixed percentage?
4. How can this solution be extended if additional degrees and salaries were added?
5. What if the difference between the two salaries was given as a percentage instead of a fixed amount?

### Tip:
Always check the units in word problems, especially when dealing with thousands or other multiples to avoid misinterpretations.

Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Solve for the average yearly salary of individuals with bachelor's and master's degrees, given that the master's salary is $41,000 less than twice the bachelor's, and their combined salary is $118,000.

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