Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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?

Sagot :

luana
[tex]*\\x-\ weight\ of\ dog\\\\ \frac{x}{12}-\ weight\ of\ per\ rabbit\\\\ x+\frac{x}{12}=104\ \ \ \ |multiply\ by\ 12\\\\ 12x+x=1248\\\\ 13x=1248\\\\x=96\\\\ Dog\ weights\ 96\ pounds.[/tex]

Answer-

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

[tex]\Rightarrow x+12x=104[/tex]

[tex]\Rightarrow 13x=104[/tex]

[tex]\Rightarrow x=\dfrac{104}{13}[/tex]

[tex]\Rightarrow x=8[/tex]

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