chloe has three dogs. Corky weighs twice as much as muffin.Rufus weighs twice as much as corky. the total weight of the dog is 77 pounds. how much does each dog weigh?

Respuesta :

Answer:

Corky = c = 22 pounds

Muffin = m = 11 pounds

Rufus = r = 44 pounds

Step-by-step explanation:

Let the weight of each dog be represented as

Corky = c

Muffin = m

Rufus = r

The total weight of the dog is 77 pounds.

c + m + r = 77

Corky weighs twice as much as muffin.

c = 2m

m = c/2

Rufus weighs twice as much as corky.

r = 2c

Hence

c + c/2 + 2c = 77

3.5c = 77

c = 77/3.5

c = 22 pounds

m = c/2

m = 22/2

m = 11 pounds

r = 2c

r = 2 × 22

r = 44 pounds

Each dog weighs:

Corky = c = 22 pounds

Muffin = m = 11 pounds

Rufus = r = 44 pounds

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