Question

How many cows are in the field, if there are in total 34 eyes and 62 legs of the cows and men in
the field?
A. 14
B. 15
C. 16
D. 17​

Answer 1

Answer:

Let

x=# of chickens

y=# of goats

Each chicken and goat has 1 head.

Each chicken has 2 legs. Each goat has 4 legs.

This results in the following system of equations:

x+y=43

2x+4y=108

Solve for x in first equation:

x=43-y

Substitute x in other equation to get:

2x+4y=108

2(43-y)+4y=108

86-2y+4y=108

2y=22

y=11

x+y=43

x+11=43

x=32

So 11 goats and 32 chickens.