Respuesta :
EXPLANATION:
We are given the wage rates of three categories of employees at Carmine's Italian Grill. For a dishwasher, the wage would be represented by d. The hourly wage for a chef is 20% greater than that of a dishwasher. That means we can set up the following expressions;
[tex]\begin{gathered} Dishwasher=d \\ Chef=d+0.2d \end{gathered}[/tex]Also we are given that the wage of a dishwasher is half that of a manager, then that means;
[tex]Manager=2d[/tex]We can now begin to solve.
If the manager's wage is $8.50 per hour, then we can determine the dishwasher's wage as follows;
[tex]8.50=2d[/tex]Divide both sides by 2;
[tex]\frac{8.50}{2}=d[/tex][tex]d=4.25[/tex]Therefore, we can also determine the Chef's hourly wage as follows;
[tex]Chef=d+0.2d[/tex][tex]Chef=4.25+(0.2\times4.25)[/tex][tex]Chef=4.25+0.85[/tex][tex]Chef=5.1[/tex]Therefore, a Chef earns $5.10 per hour while a Manger earns $8.50 per hour.
Therefore, a Chef earns;
[tex]8.50-5.10=3.4[/tex]ANSWER:
A chef earns $3.40 less than a manager.
