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8 February, 10:50

Shelter A has a capacity of 300 beds and is 80% occupied. Shelter B is 45% occupied. The ratio of the occupancy of shelter A to shelter B is 16:27. How many beds are in shelter B?

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  1. 8 February, 11:14
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    Answer:there are 900 beds in shelter B

    Step-by-step explanation:

    Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be

    80/100 * 300 = 0.8 * 300 = 240 beds.

    Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is

    45/100 * x = 0.45 * x = 0.45x beds.

    Total occupancy of shelter A and shelter B would be

    240 + 0.45x

    The ratio of the occupancy of shelter A to shelter B is 16:27

    Total ratio of occupancy = 16 + 27 = 43

    Therefore

    27/43 * (240 + 0.45x) = 0.45x

    27 (240 + 0.45x) = 0.45x * 43 = 19.35x

    6480 + 12.15x = 19.35x

    6480 = 19.35x - 12.15x = 7.2x

    x = 6480/7.2 = 900
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