stan's steak house has a server to cook a ratio of 5 to 2 . The total number of servers and cooks is 42 . How many servers does Stan's steakhouse employ.

Respuesta :

Stan's steak house employs 30 servers.

Step-by-step explanation:

Given,

Ratio of servers to cook = 5:2

Total numbers of server and cooks = 42

Let,

x be the original number.

Therefore,

Number of servers = 5x

Number of cooks = 2x

[tex]5x+2x=42\\7x=42[/tex]

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{42}{7}\\x=6[/tex]

Number of servers = 5x = 5(6) = 30

Stan's steak house employs 30 servers.

Keywords: ratio, division

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