Question

Shelter A has a capacity of 300 beds and is 70% occupied. Shelter B is 35% occupied. The ratio of the occupancy of shelter A to shelter B is 2:5. How many beds are in shelter B?

Answer 1

1500

Explanation:

If shelter A is 70% occupied and there are 300 beds, the number of beds occupied is (0.7 x 300) = 210

Let x = occupancy rate in shelter b

from the question and based on the above calculations, the next equation can be derived

`(210)/(b) = (2)/(5)`

Solve for b = (210 x 5) /2 = 525

The occupancy rate in B is 525 beds

We know that B is 35% occupied

Let's represent the total number of occupancy in b with y

0.35y = 525

y = 525/0.35 = 1500