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