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In Mathematics / Middle School | 2014-10-13

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?

Asked by Isabella2434

Answer (3)

∗ x − w e i g h t o f d o g 12 x ​ − w e i g h t o f p er r abbi t x + 12 x ​ = 104 ∣ m u lt i pl y b y 12 12 x + x = 1248 13 x = 1248 x = 96 Do g w e i g h t s 96 p o u n d s .

Answered by luana | 2024-06-10

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
⇒ x + 12 x = 104
⇒ 13 x = 104
⇒ x = 13 104 ​
⇒ x = 8
So, the weight of rabbit is 8 pounds, and the weight of his dog is 8×12 = 96 pounds.

Answered by InesWalston | 2024-06-24

Dylan's dog weighs 96 pounds. This was found by setting the rabbit's weight as x pounds and using the relationship that the dog is 12 times heavier. Together, their weights total 104 pounds, leading to the calculation that x = 8 pounds for the rabbit.
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Answered by InesWalston | 2024-10-01