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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?

 Feb 20, 2021

Best Answer 

 #1
avatar+944 
+1

Ducks have two legs and cows have four legs. Let d be the number of ducks and c be the number of cows. We can write a system of equations:

 

24 in total ==> c + d = 24         . (1)

66 legs ==> 4c + 2d = 66         . (2)

 

 

Multiply equation (1) by 2:

 

2c + 2d = 48

4c + 2d = 66

 

Subtract to get -2c = -18. So, there are 9 cows and 15 ducks.

 Feb 20, 2021
 #1
avatar+944 
+1
Best Answer

Ducks have two legs and cows have four legs. Let d be the number of ducks and c be the number of cows. We can write a system of equations:

 

24 in total ==> c + d = 24         . (1)

66 legs ==> 4c + 2d = 66         . (2)

 

 

Multiply equation (1) by 2:

 

2c + 2d = 48

4c + 2d = 66

 

Subtract to get -2c = -18. So, there are 9 cows and 15 ducks.

CubeyThePenguin Feb 20, 2021
 #2
avatar+118069 
+1

THX, Cubey    !!!!

 

A "Best Answer  "

 

cool cool cool

CPhill  Feb 20, 2021

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