The owner of a new restaurant is ordering tables and chairs. he wants to have only tables for two and tables for 4. the total number of people can be seated in rest is 120, then write an equation to represent the situation. What do the variables represent?

4 M + 2 N = 120

Step-by-step explanation:

If we name "M" the number of tables for four people, and "N" the number of tables for two people, then the total number of people to be seated using M tables (of four people) would be the product "4 * M".

Similarly, the total number of people to be seated if the owner has N number of two person tables, would be: "2 * N".

Therefore, if the owner has M four people tables and N two person tables, the total number of people seated at the restaurant would be the addition:

4 * M + 2 * N. Since he wants this number to be 120, we complete the equation making this expression equal to 120:

4 * M + 2 * N = 120