Answer: There are 20 goats and 18 chikens.
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
If the number of chickens is represented by C, and the number of goats is G.
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
2C + 4 G =116
-
2C + 2 G =76
_________
2G = 40
G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
C =38-20
C=18
There are 20 goats and 18 chickens.
Answer:
chickens is represented by C, and the number of goats is G.
C=18
G=20
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
2C + 4 G =116
-
2C + 2 G =76
_________
2G = 40
Solving for G:
G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
Solving for C
C =38-20
C=18
There are 20 goats and 18 chickens.
