Question

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?

Answer 1

Answer:
`(3)/(8)`

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 =
`5x+3x=8x`

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

`=\frac{\text{Dog's weight}}{\text{Total weight}}\\\\=(3x)/(8x)\\\\ =(3)/(8)`

Hence, the fraction of the total weight of all 6 animals is dog’s weight=
`(3)/(8)`