Shelter A has 500 beds and is 90% occupied. Shelter B is 60% occupied, the ratio of beds in Shelter A to Shelter B is 15:16

there are 900 beds in shelter B

Step-by-step explanation:

Search...

Unlock all answers

JOIN FOR FREE

jenhowie8456

01/13/2020

Mathematics

High School

answered

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?

1

SEE ANSWER

ADD ANSWER

+5 PTS

Log in to add comment

jenhowie8456 is waiting for your help.

Add your answer and earn points.

Answer

3.3/5

3

Favouredlyf

Genius

6.9K answers

27.3M people helped

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

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

the answer i believe is 27 units.

step-by-step explanation: