Question

Dylan's dog weighs 12 times as much as his pet rabbit. The dog and rabbit weigh 104 pounds altogether. How much does Dylan's dog weigh?

Answer 1

`*\\x-\ weight\ of\ dog\\\\ (x)/(12)-\ weight\ of\ per\ rabbit\\\\ x+(x)/(12)=104\ \ \ \ |multiply\ by\ 12\\\\ 12x+x=1248\\\\ 13x=1248\\\\x=96\\\\ Dog\ weights\ 96\ pounds.`

Answer 2

The weight of his dog is 96 pounds.

Solution-

Let's assume, weight of the Dylan's pet rabbit = x pounds, so weight of the Dylan's dog = 12x pounds,

The dog and rabbit weigh 104 pounds altogether, so

`\Rightarrow x+12x=104`

`\Rightarrow 13x=104`

`\Rightarrow x=(104)/(13)`

`\Rightarrow x=8`

So, the weight of rabbit is 8 pounds, and the weight of his dog is 8×12 = 96 pounds.