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22 February, 17:59

Center City East Parking Garage has a capacity of 257 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1221 cars, find the capacity for each garage.

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  1. 22 February, 18:21
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    Center City West = x

    Center City East = (x + 257)

    Solve for x to find the capacity for Center City West and then we can find the capacity for Center City East.

    (x + 257) + x = 1221

    x + x + 257 = 1221

    2x + 257 - 257 = 1221 - 257

    2x = 964

    2x / 2 = 964 / 2

    x = 482

    Center City West capacity = 482

    Now to find Center City East capacity we substitute 482 for x in (x + 257)

    (x + 257)

    (482 + 257)

    482 + 257 = 739

    Center City East capacity = 739

    Center City West capacity = 482
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