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?

wiseowl Feb 20, 2021

#1**+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.

CubeyThePenguin Feb 20, 2021

#1**+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