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Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each hehas. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact and no extra limbs, how many of each animal does farmer Ben have?

 May 10, 2022
 #1
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use systems of equations

 May 10, 2022
 #2
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Let there be d ducks and c cows.

you know that  d+c=24

 

It is reasonable to assume ever duck has 2 legs so that is 2d   duck leges

Also there would be 4c   cow legs

Total legs = 2d+4c = 66

 

so

d+c=24         (1)

2d+4c = 66   (2)

 

solve simultaneously.

 May 11, 2022

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