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

step-by-step explanation:

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step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.