Question

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. The average yearly salary for an individual whose final degree is a​ bachelor's is ​$ nothing thousand and the average yearly salary for an individual whose final degree is a​ master's is ​$ nothing thousand.

Answer 1

Complete question :

Suppose the average yearly salary of an individual whose final degree is a master's is $55 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 ?$116 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = $59,000

Step-by-step explanation:

Let:

Average salary of a bachelor's degree = b

Salary of a master's holder = 2b - 55000

Combined salary of both degrees :

b + (2b - 55000) = 116000

b + 2b - 55000 = 116000

3b = 116000 + 55000

3b = 171000

Divide both sides by 3

3b/3 = 171000/3

b = 57000

Hence,

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = 2(57000) - 55000 = 59,000