Let:
* `r` = number of rabbits
* `c` = number of chickens
Set up the equations:
* Heads: r + c = 35
* Legs: 4r + 2c = 94 (Rabbits have 4 legs, chickens have 2)
Solve for the variables:
One way to solve is using substitution:
1. Solve for 'r' in the first equation:
r = 35 - c
2. Substitute this value of 'r' into the second equation:
4(35 - c) + 2c = 94
3. Simplify and solve for 'c':
140 - 4c + 2c = 94
-2c = -46
c = 23
4. Substitute the value of 'c' back into either original equation to find 'r':
r + 23 = 35
r = 12
Answer:
There are 12 rabbits and 23 chickens.