PLEASE HELP Farmer Joe has cows and chickens on his farm. His farm animals have 96 legs and 36 heads total.
how many cows and chickens are on the farm?
a. Explain what 96 represents, and how it relates to the cows and chickens.
b. Explain what 36 represents, and how relates to the cows and chickens.
C. Setup a system, of two equations, to help you solve this riddle.
d. Solve this system using either Elimination or Substitution, and show your work.

(a) & (b) : See Explanation

(c) and

(d) 24 chickens and 12 cows

Step-by-step explanation:

Solving (a)

From the question, we understand that there are 96 legs on the farm.

The meaning that when the legs of the cows and the legs of the chickens are counted, there are a total of 96.

Also note that, a cow has 4 while a chicken has 2 legs.

Solving (b)

From the question, we understand that there are 36 legs on the farm.

The meaning that when the heads of the cows and the heads of the chickens are counted, there are a total of 36.

Also note that, a cow and a chicken have 1 head, each.

Solving (c): Set up two equations

Represent the cow with x and chicken with y

For the heads, we have the:

This is so because both (cow and chicken) have a head, each.

For the legs, we have:

This is so because a cow has 4 legs and a chicken has 2.

Hence, the equations are:

Solving (d): Solution to the equation

Make x the subject in the first equation

Substitute 36 - y for x in the second equation

Open Bracket

Collect Like Terms

Solve for 2y

Solve for y

This means that there are 24 chickens

Substitute 24 for y in x = 36 - y

This means there are 12 cows

table 3 represents a direct variation function. : )