SOLUTION: farmer adelita has only ducks and cows. he cant remeber how many of each he has but he doesnt need to remeber because he knows he has 22 animals and 22 is also his age. he also kno

Algebra ->  College  -> Linear Algebra -> SOLUTION: farmer adelita has only ducks and cows. he cant remeber how many of each he has but he doesnt need to remeber because he knows he has 22 animals and 22 is also his age. he also kno      Log On


   

Question 243859: farmer adelita has only ducks and cows. he cant remeber how many of each he has but he doesnt need to remeber because he knows he has 22 animals and 22 is also his age. he also knows that the animals have a total of 56 legs and that is also his father age. assuming that each animal has all legs intact and no extra limbs how many of each animal does farmer ben have?
Answer by Edwin McCravy(20055) About Me  (Show Source):
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farmer adelita has only ducks and cows. he cant remeber how many of each he has but he doesnt need to remeber because he knows he has 22 animals and 22 is also his age. he also knows that the animals have a total of 56 legs and that is also his father age. assuming that each animal has all legs intact and no extra limbs how many of each animal does farmer ben have

Is Farmer Ben and Farmer Adelita the same person?

>>...he has 22 animals...<<

 D + C = 22

>>...total of 56 legs...<<

each duck has 2 legs and each cow has 4 legs, so

2D + 4C = 56

Solve this system:

system%28D%2BC=22%2C2D%2B4C=56%29

 and get 16 ducks and 6 cows.

Edwin