Questions: Question 3 (1 point) The owner of a new restaurant is ordering tables and chairs. She only wants tables for 2 and tables for 4. - The total number of people that can be seated in the restaurant is 120. An equation that represents the number of 2-seat tables, x, and the number of 4-seat tables, y, she should order is Your equation should be written in the standard form, ax + by = c Blank 1:

Solution Steps

To solve this problem, we need to create an equation that represents the total seating capacity of the restaurant using the number of 2-seat tables (x) and 4-seat tables (y). Each 2-seat table can seat 2 people, and each 4-seat table can seat 4 people. Therefore, the equation will be based on the total number of people that can be seated, which is 120.

1. Define variables for the number of 2-seat tables (x) and 4-seat tables (y).
2. Use the seating capacity of each table type to form an equation: 2x + 4y = 120.

Let \( x \) represent the number of 2-seat tables and \( y \) represent the number of 4-seat tables.

The total seating capacity of the restaurant can be expressed as: \[ 2x + 4y = 120 \] This equation accounts for the seating provided by both types of tables.

To simplify the equation, we can divide all terms by 2: \[ x + 2y = 60 \]

Final Answer