+1678 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?
+1223 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.
+1223 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.
