Respuesta :

Answer:

The number of servers does Stan’s Steakhouse employ are 30.

Step-by-step explanation:

Given : Stan’s Steakhouse has a server to cook ratio of 5 to 2. The total number of servers and cooks is 42.

To find : How many servers does Stan’s Steakhouse employ?

Solution :

Ratio of server to cook  = 5 : 2

Let the ratio be 'x'

So, the number of server to cook are 5x and 2x.

The total number of servers and cooks is 42.

i.e. [tex]5x+2x=42[/tex]

[tex]7x=42[/tex]

[tex]x=\frac{42}{7}[/tex]

[tex]x=6[/tex]

The number of servers does Stan’s Steakhouse employ are

[tex]5x=5(6)=30[/tex]

The number of cook does Stan’s Steakhouse employ are

[tex]2x=2(6)=12[/tex]

Therefore, the number of servers does Stan’s Steakhouse employ are 30.