Answer:
B 24 horses and 50 humans
Step-by-step explanation:
Let x = humans
y = horses
Each horse and human has 1 head, for a total of 74 heads
x+y = 74
Each human has 2 leags, 2x and each horse has 4 legs, 4y for a total of 196 legs
2x+4y = 196
We have a system of equations
x+y = 74
2x+4y = 196
Multiply the first equation by -2
-2(x+y) = -2*74
-2x -2y - 154
Add the modified first equation to the second equation
-2x-2y = -154
2x+4y = 196
-----------------------
2y = 48
Divide by 2
2y/2 = 48/2
y = 24
There are 24 horses
x+y = 74
We know there are 24 horses
x+24 = 74
x+24-24 = 74-24
x=50
There are 50 humans
