Final answer:
To calculate the total number of dine-in and take-out customers after one week, subtract the loss of dine-in customers and add the gain of take-out customers. Use the equations X = 800 - 104 for dine-in customers and Y = 44 + 22 for take-out customers.
Step-by-step explanation:
To calculate the total number of dine-in and take-out customers after one week, we need to consider the changes in both categories. The change in dine-in customers can be calculated by subtracting the loss of 104 nightly dine-in customers per week. So, Equation 1 for the change in dine-in customers would be:
X = 800 - 104
To calculate the change in take-out customers, we need to add the gain of 22 nightly take-out customers per week. So, Equation 2 for the change in take-out customers would be:
Y = 44 + 22
After solving the equations, the total number of dine-in customers (X) and take-out customers (Y) after one week will be the values obtained from the respective equations.