Question

A pet rescue shelter houses cats and dogs.the ratio of cats:dogs is 3:7.
40% of the cats are black and 50% of the dogs are black.

What percentage of the animals at the shelter are black?

Answer 1

The percentage of black animals in the shelter is 47%

To know the percentage of black animals in the shelter, it is necessary to do the following procedure.

Identify how many animals are in total in the shelter following the distribution of cats:dogs, 3:7.

Assuming there are 30 cats and 70 dogs, then we must calculate the equivalent of 40% of 30 cats and 50% of 70 dogs.

• 30/100 × 40 = 12 black cats.
• 70/100 × 50 = 35 black dogs.

So we know that there are 12 black cats and 35 black dogs. To find out how many black animals there are in total, we must add black cats plus black dogs.

12 + 35 = 47 black animals.

Now it is necessary to know what percentage the 47 black animals are equivalent to. For this, we add the total number of animals in the shelter and calculate 47%.

30 cats + 70 dogs = 100 animals.

100/100 × 47 = 47% of the animals are black.

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Answer 2

The percentage of black animals at the rescue shelter is 47%.

Data and Calculations:

Ratio of cats to dogs = 3:7

Sum of ratio = 10

Therefore, cats = 3/10 or 30%

And dogs = 7/10 or 70%

Percentage of black cats = 40%

Percentage of black dogs = 50%

Percentage of black animals = 47% (40% x 30%) + (50% x 70%)

Thus, only 47% of the animals at the rescue shelter are black, while 53% (100 - 47) are other colors.

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