The average yearly salary of a person whose final degree is a​ master's is ​$43 thousand less than twice that of a person whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$113 thousand. Find the average yearly salary of people with each of these final degrees.

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Answer:

The answer is: The average yearly salary of someone with a master´s degree is $61,000 and the average yearly salary of someone with a bachelor´s degree is $52,000

Explanation:

If the combined salary of someone with a master´s degree and a bachelor´s degree is $113,000, then:

m + b = 113,000     (where m = master´s degree and b = bachelor´s degree)

If someone with a master´s degree earns $43,000 less than 2 people with a bachelor´s degree, then:

2b - m = 43,000

Now we solve the equations by adding them up:

(m + b) + (2b - m) = 113,000 + 43,000

3b = 156,000

b = 52,000

Then we replace:

m + 52,000 = 113,000

m = 61,000