How many goats and geese are there?

Question

in a farm,there are_ goats and geese.they have a totla of 35 heads and 100 legs.

Answer 1

x + y = 35

2x + 4y = 100

x = geese

y = goats

y = 35 - x

2x + 4(35 - x) = 100

-2x +140 = 100

-2x = -40

x = 20

20 + y = 35

y = 15

So there are 15 goats, and 20 geese.