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Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads total. How many cows and how many chickens are on the farm? a. Explain what 128 represents, and how it relates to the cows and chickens. b. Explain what 48 represents, and how it 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, show your work, and state your answer as a complete sentence.

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raphealnwobi

Farmer John has 16 cows and 32 chickens.

Let x represent the number of cows and y represent the number of chickens. A cow has 4 legs while a chicken has two legs.

a) 128 means that the total number of cow legs and chicken legs is 128

b) 48 means that the total number of cow and chicken is 48

c)

His farm animals have 128 legs and 48 heads total, hence:

4x + 2y = 128     (1)

x + y = 48    (2)

d) Solving equations 1 and 2 simultaneously gives:

x = 16, y = 32

Therefore Farmer John has 16 cows and 32 chickens.

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