Shelter A has a capacity of 300 beds and is 60% occupied. Shelter B is 30% occupied. The ratio of the occupancy of Shelter A to Shelter B is 1 : 2. How many beds are in Shelter B?

1200 beds

Step-by-step 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