Answer :
Step-by-step explanation:
Let's denote the number of chickens as C and the number of goats as G.
Each chicken has 2 legs, so the total number of legs contributed by chickens is 2C.
Each goat has 4 legs, so the total number of legs contributed by goats is 4G.
Given that there are 26 animals in total, we have the equation:
C + G = 26
And the total number of legs is 90:
2C + 4G = 90
We can solve these equations simultaneously to find the values of C and G. First, let's rearrange the first equation to express C in terms of G:
C = 26 - G
Now, substitute this expression for C into the second equation:
2(26 - G) + 4G = 90
Expand and solve for G:
52 - 2G + 4G = 90
52 + 2G = 90
2G = 38
G = 19
So, there are 19 goats.