Question

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$(blank) thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer 1

Complete question :

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 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 ​$118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000