suppose the average yearly salary of an individual whose final degree is a masters is $43 thousand less than…

suppose the average yearly salary of an individual whose final degree is a masters is $43 thousand less than twice that of an individual whose final degree is a bachelors. combined, two people with each of these educational attainments earn $122 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

suppose the average yearly salary of an individual whose final degree is a masters is $43 thousand less than twice that of an individual whose final degree is a bachelors. combined, two people with each of these educational attainments earn $122 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

Answer

Explanation:

Step1: Set up the equation

Let the average - yearly salary of a bachelor's degree holder be $x$ thousand and the average - yearly salary of a master's degree holder be $y$ thousand. We know that $y = 2x-43$. Also, we know that $y = 122$.

Step2: Substitute and solve for $x$

Substitute $y = 122$ into the equation $y = 2x - 43$. We get $122=2x - 43$. Add 43 to both sides: $122 + 43=2x$, so $165 = 2x$. Then divide both sides by 2: $x=\frac{165}{2}=82.5$.

Answer:

82.5