Question

Shelter A has a capacity of 300 beds and is 20% occupied. Shelter B is 60% occupied. The ratio of the occupancy of Shelter A to Shelter B is 1 : 15. How many beds are in Shelter B?

Answer 1

1,500 beds

Explanation:

Occupancy rate shelter A = 300 x 20/100 = 60

Let capacity of shelter B be X

60% occupancy ==> 60/100 x X = 0.6X

Occupancy rate of A to rate of B is 1: 15 can be expressed as fraction 1/15

Therefore
60/0.6X = 1/15

1 x 0.6X = 60 x 15

0.6X = 900

X = 900/0.6 = 1,500 beds