Jack has 5 cats and 1 dog. If the dog’s weight is 3 times the average (arithmetic mean) weight of the cats, then the dog’s weight is what fraction of the total weight of all 6 animals?

Respuesta :

Answer: [tex]\dfrac{3}{8}[/tex]

Step-by-step explanation:

Let x be the weight of a cat , the the weight of the dog will be 3x

Given : Jack has 5 cats and 1 dog.

The weight of 5 cats will be 5x.

The total weight of the pets = [tex]5x+3x=8x[/tex]

Now, the fraction of the total weight of all 6 animals is dog’s weight  :-

[tex]=\dfrac{\text{Dog's weight}}{\text{Total weight}}\\\\=\dfrac{3x}{8x}\\\\ =\dfrac{3}{8}[/tex]

Hence, the  fraction of the total weight of all 6 animals is dog’s weight= [tex]\dfrac{3}{8}[/tex]