Question

8) There are 14 animals in the barn. Some

are geese and some are goats. There are
52 legs in all. Ilow many of each animal
are there?

Answer 1

There are 12 goats and 2 geese.

Explanation:

X = geese; Y = goats

Geese have 2 legs each. Goats have 4 legs each.

2x + 4y = 52

There are 14 animals

x + y = 14

x = 14 - y

(replacement)

2(14 - y) + 4y = 52

(simplify)

28 - 2y + 4y = 52

28 + 2y = 52

2y = 24

y = 12

14 - 12 = 2

x = 2