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Lerok [7]
3 years ago
12

There are 17 animals in the barn. Some are chickens and some are cows. There are 56 legs in all. How many of each animal are the

re?
Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:

6 chickens, 11 cows.

Step-by-step explanation:

x - chickens

y - cows

x + y = 17

2x + 4y = 56   <-- chickens have 2 legs, cows have 4.

y = -x + 17

Substitute (-x+17) for y in the second equation.

2x  + 4(-x + 17) = 56

2x -4x + 68 = 56

2x = 12

<u>x = 6 chickens</u>

Now substitute 6 for x

6 + y = 17

<u>y = 11 cows</u>

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