Answer:
Yours paycheck is 297.78. Your coworkers is 372.22
Explanation:
Let x represent your paycheck and y represent coworkers paycheck.
Your paycheck is 20% less than your coworker so we can represent this as
[tex]0.8y = x[/tex]
and We also know that
[tex]x + y = 670[/tex]
We subsitue y for x.
[tex]0.8y + y = 670[/tex]
[tex]1.8y = 670[/tex]
[tex]y = 372.22[/tex]
So your coworker paycheck is 372.22.
Plug this back in to either equation, to solve for x.
[tex]372.22 + x = 670[/tex]
[tex]x = 297.78[/tex]
So our paycheck is 297.78.