Answer:
1200 beds
Explanation:
Shelter A has a capacity of 300 beds and is 60% occupied.
The amount of beds occupied =
60% × 300 beds
= 60/100 × 300
= 180 beds
Shelter B is 30% occupied.
Let the number of beds in Shelter B = x
30% × x = 0.30x beds
Hence:
180 beds + 0.30x beds
The ratio of the occupancy of Shelter A to Shelter B is 1 : 2.
Let the sum of the proportion = 1 + 2 = 3
Hence:
Number of beds in Shelter B =
2/3(180 beds + 0.30x beds) = 0.3x
2/3(180 + 0.30x) = 0.3x
Cross Multiply
2(180 + 0.30x) = 0.3x × 3
360 + 0.6x = 0.9x
Collect like terms
360 = 0.9x - 0.6x
360 = 0.3x
x = 360/0.3
x = 1200 beds
Therefore, the number of beds that are in Shelter B is 1200 beds