Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Center City East Parking Garage has a capacity of 251 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1227 cars, find the capacity for each garage.
A) Center City East:749 cars
B) Center City East:739 cars Center City West: 478 cars Center City West: 488 cars
C) Center City East:478 cars
D) Center City East:488 cars Center City West: 749 cars Center City West: 739 cars

Question

Quizplus · Accepted Answer

Let x be the capacity of Center City West Parking Garage.
Then the capacity of Center City East Parking Garage is x + 251.
The combined capacity for the two garages is x + (x + 251) = 2x + 251 = 1227.
Solving for x, we get x = 488.
Therefore, the capacity of Center City West Parking Garage is 488 cars and the capacity of Center City East Parking Garage is 739 cars. Choice B matches this solution. Let x be the capacity of Center City West Parking Garage. Then the capacity of Center City East Parking Garage is x + 251. The combined capacity is 1227, so we can set up the equation x + x + 251 = 1227 and solve for x: 2x + 251 = 1227, 2x = 976, x = 488. Therefore, the capacity of Center City West Parking Garage is 488 cars and the capacity of Center City East Parking Garage is 739 cars (488 + 251). So the best choice is B.

Set Up an Equation That Can Be Used to Solve