Solve the problem.
-Center City East Parking Garage has a capacity of 252 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1216 cars, find the capacity for each garage.
A)Center City East:482 carsCenter City West:734cars
B)Center City East:744 carscars Center City West: 472 cars
C)Center City East:472 carsCenter City West: 744 cars
D)Center City East:734 cars Center City West: 482 cars

Question

Solve the problem.
-Center City East Parking Garage has a capacity of 252 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1216 cars, find the capacity for each garage.
A)Center City East:482 carsCenter City West:734cars
B)Center City East:744 carscars Center City West: 472 cars
C)Center City East:472 carsCenter City West: 744 cars
D)Center City East:734 cars  Center City West: 482 cars

Quizplus · Accepted Answer

Let the capacity of Center City West Parking Garage be $x$. Then, the capacity of Center City East Parking Garage is $x + 252$. The combined capacity is $x + (x + 252) = 1216$. Solving for $x$, we get $2x + 252 = 1216$, so $2x = 964$, and $x = 482$. Therefore, Center City West has a capacity of 482 cars, and Center City East has a capacity of $482 + 252 = 734$ cars.

Solve the Problem. -Center City East Parking Garage Has a Capacity of 252