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# Help with simple math problem?

a farm has chickens and hens. there's a total of 120 heads and 380 feet. how many of each are there?

oops! i meant pigs and chickens. sorry!

### 6 Answers

- 1 decade agoFavorite Answer
50-Chickens

70-Pigs

Work:

(1) 2x+4y=380

(2) x+y=120

Work equation (1) and then work eauation (2)

(1) 2x+4y=380

divided by 2 on each side: x+2y=190

subtract 2y from each side: x=190-2y

(2) x+y=120

subtract y from each side: x=120-y

then take (1) and (2)

120-y=190-2y

add 2y to each side:

120+y=190

subrtact 120 from each side: y=190-120

y=70

just plug in the values to find the actual x and there you go :).

Source(s): Math Minor in College - 1 decade ago
... trick question? Both chickens and hens both have 2 feet each, meaning there should logically be 240 feet for the 120 heads. Unless this is some sick slaughterhouse joke or something.

- 1 decade ago
Use this formula

(Animal Type 1:X)x(Number of Legs on that type) + (Animal Type 2:Y)x(Number of Legs on that type)

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