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

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

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

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 =
`(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