Answer:
There are 5chickens and 3 rabbits
Step-by-step explanation:
Number of heads = 8
Number of feets = 22
x+ y = 8--------1
2x + 4y = 22-----2
Where X is chicken and y is rabbits
Solving both equation simultaneously,
From equation 1, x = 8-y, substitute the expression in eqn 2
2(8-y) + 4y = 22
2y = 6
Y = 3
X = 8-3 = 5
Answer: Chickens= 5
Rabbits= 3
Step-by-step explanation:
Let the number of chickens be y
Let the number of rabbits be z.
There are 8 animals and chicken has 2 feet while rabbits have 4 feet. This can be expressed mathematically as:
y+z= 8. ............ i
2y+4z= 22......... iI
Multiply equation I by 2
Multiply equation ii by 1
2y+2z= 16 ...........iii
2y+4z= 22 ........... iv
Subtract equation iv from iii
-2z = -6
Divide both side by 2
Z= 6/2 = 3
There are 3 rabbits
From equation I,
y+z= 8
Since z= 3
y= 8-3 =5
There are 5 chickens.
There are 5 chickens and 3 rabbits
