Question

A new restaurant will have tables that seat 2 people and tables that seat 4 people. If fire

codes limit the number of patrons to 60 people, and there is only enough wait staff for 18
tables, how many of each table type should the restaurant have?

Answer 1

To determine the number of each table type the restaurant should have, set up a system of equations and solve them simultaneously.

Step-by-step explanation:

To determine the number of each table type the restaurant should have, we can set up a system of equations. Let's say x represents the number of tables that seat 2 people, and y represents the number of tables that seat 4 people.

We know that the maximum number of patrons allowed is 60, so the total number of seats provided by the tables must be less than or equal to 60. This can be written as the equation 2x + 4y ≤ 60.

Additionally, we know that there are only enough wait staff for 18 tables, so the total number of tables must be less than or equal to 18. This can be written as the equation x + y ≤ 18.

Solving these two equations simultaneously will give us the number of each table type the restaurant should have.

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