Question

The ratio of cats to dogs is 4:5 there are 27 animals in all how many dogs and cats are there

Answer 1

Cats = 12 & Dogs = 15

Explanation:

Let the number of cats and dogs be 4x and 5x.

`\therefore \: 4x + 5x = 27 \\ \therefore \: 9x = 27 \\ \therefore \: x = (27)/(9) \\ \therefore \: x = 3 \\ \\ \therefore \: 4x = 4 * 3 = 12 \\ \: \: \: \: \: 5x = 5 * 3 = 15 \\`

Thus

Number of cats = 12

Number of dogs = 15

Answer 2

12 cats and 15 dogs

Step-by-step explanation: A ratio can be simplified, just like a fraction. And I know that there are 27 animals total. So, I just kept multiplying 4x2 and 5x2, 4x3 and 5x3. 4x3 and 5x3 is 12 and 15, and 12+15 is 27!