A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on these animals. How many of each animal does the farmer have?

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BeyondAlexx BeyondAlexx · Answer 1 · 2020-05-03T22:56:38+02:00

Answer:

Let's call cows x, and chickens as y.

Cows have 4 legs

Chickens have 2 legs.

Let's make two equations from the information they gave us!

x + y = 42

4x + 2y = 114

Now, let's multiply the first equation by 4.

4x + 4y = 168

4x + 2y = 114

Now, subtract the second equation from the first one.

4x - 4x + 4y - 2y = 168 - 114

4y - 2y = 168 - 114

2y = 54

y = 27

Now, plug y = 27 into either equation and solve for x.

x + y = 42

x + 27 = 42

x = 42 - 27

x = 15

Step-by-step explanation:

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§ALEX§