a manager pays servers 8.50 per hour and bussers 5.50 per hour.

Question

a manager pays servers 8.50 per hour and bussers 5.50 per hour. The manager needs 8 people staffed on Saturday nights but can only afford to pay a total of $59 per hour for staffing.

 

 

Answer 1

Hi Robb,

 

a manager pays servers 8.50 per hour and bussers 5.50 per hour. The manager needs 8 people staffed on Saturday nights but can only afford to pay a total of $59 per hour for staffing.

 

This can be solved using a system of equations.

 

Let s = servers

let b= bussers

 

s+b=8

8.50s+5.50b=59

 

Multiply the 1st equation by -8.5 and then add the two equations

 

-8.5s-8.5b=-68
8.50s+5.50b=59

------------------

         -3b=-9

            b=3

 

Substitute b=3 into the 1st equation

s+b=8
s+3=8

s=5

 

ANSWER:  There are 5 servers and 3 bussers.