Question

old mcdonald has 100 chickens and goats in the barnyard. Altogether, there are 284 feet. How many chickens and how many goats are in the barnyard?

Answer 1

58 chickens, 42 goats

Explanation:

there are a total of 100 chickens and goats

c + g = 100....c = 100 - g

there are 284 feet....chickens have 2 feet and goats have 4 feet

2c + 4g = 284

2(100 - g) + 4g = 284

200 - 2g + 4g = 284

-2g + 4g = 284 - 200

2g = 84

g = 84/2

g = 42 <===== goats

c + g = 100

c + 42 = 100

c = 100 - 42

c = 58 <==== chickens