Question

At Carmine’s Italian Grill the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour?

Answer 1

Step-by-step 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;

`\begin{gathered} Dishwasher=d \\ Chef=d+0.2d \end{gathered}`

Also we are given that the wage of a dishwasher is half that of a manager, then that means;

`Manager=2d`

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;

`8.50=2d`

Divide both sides by 2;

`(8.50)/(2)=d`
`d=4.25`

Therefore, we can also determine the Chef's hourly wage as follows;

`Chef=d+0.2d`
`Chef=4.25+(0.2*4.25)`
`Chef=4.25+0.85`
`Chef=5.1`

Therefore, a Chef earns $5.10 per hour while a Manger earns $8.50 per hour.

Therefore, a Chef earns;

`8.50-5.10=3.4`

ANSWER:

A chef earns $3.40 less than a manager.