Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$38 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.

Respuesta :

N/B The amount is in thousands
The total amount earned by a Bachelor's person be $x:
amount earned by a masters person will be $(2x-38)
Total amount earned by the two individuals will be:
x+(2x-38)=115
solving for x we get:
x+2x-38=115
3x=115+38
3x=153
x=153/3
x=51
also:
2x-38=2*51-38=64
therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

W0lf93
Salary of masters M = 2B - 38000, B is salary of bachelors ---- Equation 1 
Both combined earn M + B = 115000 ---- Equation 2 
Substitute Equation 1 in Equation 2,  
So 2B - 38000 + B = 115000 => 3B = 115000 + 38000 => 3B = 153000 
Bachelors Salary B = $51000 
Masters Salary M = (2 x 51000) - 38000 = $64000