let

x = the capacity of Center City East Parking Garage

y = the capacity of Center City West Parking Garage

Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage:

x = 253 + y

the combined capacity for the two garages is 1223 cars:

x + y = 1223

by solving the system of equations:

x = 253 + y

x + y = 1223

we find:

x = 738 cars

y = 485 cars

click here to see the step by step solution of the system of equations:

Click to see all the steps

The capacity of Center City East Parking Garage is 738 cars.

The capacity of Center City West Parking Garage is 485 cars.