Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$ 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 ​$ thousand. Find the average yearly salary of an individual with each of these final degrees.

Respuesta :

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 $61 thousand

What are the salary of a master's degree holder and that of a bachelor's degree holder?

Let M be the salary of a master's and B the salary of a bachelor's

M is $45k less than twice B

M=2B-45........(equation 1)

M+B=114.........(equation 2)

substitute for M in the second equation

2B-45+B=114

3B=114+45

3B=159

B=159/3

B=53

M=2B-45

M=(2*53)-45

M=61

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Full question:

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$45 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 ​$114 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​ bachelor's is

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thousand and the average yearly salary for an individual whose final degree is a​ master's is

​$enter your response here

thousand.