Answer
bachelor's 81,000
master's 92,000
Work Step by Step
Let $x$ be the salary with a bachelor's degree.
The salary with a master's degree is $2x-70000$.
The total salary of the two is represented by the equation:
$x+2x-70000=173000$
Solve for x to find the median salary with a bachelor's degree.
Combine like terms.
$3x-70000=173000$
Use the addition property of equality to add 70000 to each side of the equation.
$3x-70000+70000=173000+70000$
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 master's degree:
$2x-70000=2(81000)-70000=162000-70000=92000$
