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Evgen
1 month ago
9

A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eye

s and 270 feet." How many cows does she have? How many chickens does she have? (Note: chickens have 2 feet and cows have 4 feet.)
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
8 0
The known facts are: every animal possesses 2 eyes. Each cow has 4 legs, and every hen has 2 legs. Let's denote the number of cows as x and the number of chickens as y. According to the question, the total number of eyes is 162. Therefore, the equation can be framed as 2x + 2y = 162, simplifying to x + y = 81 (1). Additionally, the total number of legs is 270, leading to the equation 4x + 2y = 270, simplifying to 2x + y = 135 (2). By subtracting equation (1) from equation (2), we get x = 54. Substituting the value of x into equation (1) gives 54 + y = 81, leading to y = 27. Thus, to sum it up, total number of animals: cows = 54, chickens = 27.
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