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 ​$117 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer 1

$58500

Explanation:

let the degree holder earn x

then a masters degree holder earns= (2x-45,000)

the comnined amount of the two degree holders= (2x-45,000)+x

2x-45000+x=117000

3x=117000+45000

3x=162000

x=162000/3

x=$54000

so bachelor'sdegree hold earns= $54000

a masters degree holder earns= (2(54000)-45,000)

a masters degree holder earns= (108000-45,000)

a masters degree holder earns=$63000

the average= (54000+63000)/2

the average= (117000)/2

the average=$58500