Answer
bachelor's 81,000
doctorate 117,000
Work Step by Step
Let $x$ be the salary with a bachelor's degree.
The salary with a doctorate degree is $2x-45000$.
The total salary of the two is represented by the equation:
$x+2x-45000=198000$
Solve for x to find the median salary with a bachelor's degree.
Combine like terms.
$3x-45000=198000$
Use the addition property of equality to add 45000 to each side of the equation.
$3x-45000+45000=198000+45000$
Simplify.
$3x=243000$
Use the multiplication property of equality to divide both sides of the equation by 3.
$3x\div3=243000\div3$
Simplify.
$x=81000$
Find the median salary with a doctorate degree:
$2x-45000=2(81000)-45000=162000-45000=117000$
