Question

suppose the average yearly salary of an individual whose final degree is a masters is $41 thousand less than twice that of an individual whose final degree is a bachelors. combined, two people with each of these educational attainments earn $109 thousand. find the average yearly salary of an individual with each of these final degrees.
the average yearly salary for an individual whose final degree is a bachelors is $ thousand and the average yearly salary for an individual whose final degree is a masters is $ thousand.

Explanation:

Step1: Define variables

Let $x$ be the average yearly salary (in thousands of dollars) of a person with a bachelor's degree. Then the average yearly salary of a person with a master's degree is $2x - 41$.

Step2: Set up an equation

The combined salary of the two - person is $x+(2x - 41)=109$.

Step3: Simplify the left - hand side of the equation

Combine like terms: $x + 2x-41=3x - 41$. So the equation becomes $3x-41 = 109$.

Step4: Solve for $x$

Add 41 to both sides of the equation: $3x-41 + 41=109 + 41$, which gives $3x=150$. Then divide both sides by 3: $x=\frac{150}{3}=50$.

Step5: Find the salary of a person with a master's degree

Substitute $x = 50$ into the expression for the master's degree salary: $2x-41=2\times50 - 41=100 - 41 = 59$.

Answer:

The average yearly salary for an individual whose final degree is a bachelor's is $\$50$ thousand and the average yearly salary for an individual whose final degree is a master's is $\$59$ thousand.