Let be "x" the number of $200 per day workers and "y" the number of $165 per day workers.
You know that the total number of workers employed on the highway project is 16. Then, you can set up this first equation:
[tex]x+y=16[/tex]
According to the information given in the exercise, the daily payroll is $2745. Knowing this, you can set up the second equation:
[tex]200x+165y=2745[/tex]
Then having the equations, you can determine that the System of equations for this situation is:
[tex]\begin{cases}x+y=16 \\ 200x+165y=2745\end{cases}[/tex]
The answer is:
[tex]\begin{cases}x+y=16 \\ 200x+165y=2745\end{cases}[/tex]
