SOLUTION: Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$49 thousand less than twice that of an individual whose final degree is a&#820

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Question 1122415: Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$49 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 ​$113 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
.
Let x = the average yearly salary of an individual with the bachelor's degree, in dollars.


Then the average yearly salary of an individual with the master's degree is (2x-49000) dollars, according to the condition.


Next, the condition says that the sum of these salaries is 113000 dollars:


x + (2x-49000) = 113000.


Simplify and solve:


3x = 113000 + 49000 


3x = 162000   ====>  x =  = 54000.


Answer.  The average yearly salary of an individual with the bachelor's degree is 54000 dollars.


         The average yearly salary of an individual with the master's degree is 2*54000 - 49000 = 59000 dollars.

Solved.


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