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 ​$115 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer 1

Answer:

The average salary of master's degree people is $ 63,000    And

The average salary of bachelor's degree people is $ 52,000  

Step-by-step explanation:

Given in question as :

Let the average salary of master's degree people = $ M       And

Let the average salary of bachelor's degree people = $ B

According to question ,

The average salary of master's degree people + The average salary of bachelor's degree people  = $115,000

Or , $ M + $ B = $ 115,000                                 ............. A

Again ,

$ M = 2 × $ B - $ 41,000                             ............... B

From eq A and eq B

(2 × $ B - $ 41,000 )   +  ( $ B ) = $ 115,000

Or, 3×$ B = 156,000

∴        B = $\frac{156,000}{3}$ = $ 52,000

And   M = $ 115,000 - $ 52,000

∴       M = $ 63,000

Hence The average salary of master's degree people is $ 63,000    And

           The average salary of bachelor's degree people is $ 52,000   Answer