Devi’s dog weighs 4 times as much as her cat. Her dog also weighs 13 pounds more than the cat. How much does each pet weight?

Respuesta :

Answer: The cat's weight is 4.33 pounds

• The dog's weight is 17.32 pounds.

Step-by-step explanation:

Let the weight of the cat be represented by a.

Devi’s dog weighs 4 times as much as her cat. This can be written as:

= 4 × a

= 4a

Her dog also weighs 13 pounds more than the cat. This can be written as:

= a + 13

We then equate both equations. This will be:

4a = a + 13

4a - a = 13

3a = 13

a = 13/3

a = 4.33 pounds

The cats weight is 4.33 pounds

Since the dog's weight = 4a = 4 × 4.33 = 17.32 pounds