The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.
Let's represent the number of tables for 2 as x, and the number of tables for 4 as y.
The number of people that can be seated on tables for 2 is 2x.
The number of people that can be seated on tables for 4 is 4y.
From the problem, we know that the total number of people that can be seated in the restaurant is 120, so we can write the equation:
2x + 4y = 120
We also know that the total number of tables (x + y) cannot exceed the total number of people that can be seated, which is 120. Therefore, we can write another equation:
x + y ≤ 120
Now we have a system of equations:
2x + 4y = 120
x + y ≤ 120
We can solve this system of equations to find the values of x and y that satisfy both equations.