Question

In a pet rescue shelter, 50% of the animals are cats and 40% of the cats are black. What percentage of the animals at the shelter are black cats?

Answer 1

Answer:

20% are black cats.

Step-by-step explanation:

This is 40% of 50%

= 0.40 * 0.50

= 0.20

= 20%

Answer 2

20% of the animals at the shelter are black cats.

What is described in the question ?

In a pet rescue shelter, 50% of the total number of animals are cats.

Also 40% of the total number of cats are black.

What percentage of all sheltered animals are black cats ?

Percentage of cats in all sheltered animals is  50%

Percentage of black cats in all sheltered animals is 40% of all cats,

i.e. 40% of 50% of the animals at the shelter are black cats.

= $\frac{40}{100}$×$\frac{50}{100}$  of the animals at the shelter are black cats.

= $\frac{20}{100}$ of the animals at the shelter are black cats.

= 20% of the animals at the shelter are black cats.

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