Respuesta :
Answer: 8 ducks, 4 pigs
Step-by-step explanation:
Farmer Faye has her ducks and of her pigs in her barn. She has 12 animals in the barn and the animals have 32 legs.
A duck has 2 legs and a pig has 4 legs.
Let duck be d and pig be p
d+p = 12 .............. i
2d+4p= 32 .......... ii
Multiply equation i by 2
Multiply equation ii by 1
2d+2p= 24 .......... iii
2d+4p= 32 ........... iv
Subtract equation iv from iii
-2p = -8
P = 8/2
P= 4
There are 4 pigs
Since there are 12 animals and we've calculated that there are 4 pigs, ducks will be 12-4 =8
There are 8 ducks
Answer:
4 pigs and 8 ducks
Step-by-step explanation:
Let the number of ducks = d
Let the number of pigs =p
There are 12 animals in the barn,
- p+d=12
Each pig has 4 legs and each duck has 2 legs.
Therefore:
Total Number of Legs = 4p+2d
- 4p+2d=32
We solve the two resulting equations simultaneously.
From the first equation
p=12-d
Substitute p=12-d into 4p+2d=32
4(12-d)+2d=32
48-4d+2d=32
-2d=32-48
-2d=-16
d=8
Recall:
p=12-d=12-8=4
Therefore, there are 4 pigs and 8 ducks on the farm.
