Question

A farmhouse shelters 15 animals. Some are buffalo and some are ducks. Altogether there are 46 legs. How many of each animal are there?

Answer 1

ducks * legs + buffalo * legs = total legs

x*2 + (15-x) *4 = 46

distribute

2x +60 -4x = 46

-2x +60 = 46

subtract 60 from each side

-2x = -14

divide by -2

x = 7

There are 7 ducks

15-7 =8

there are 8 buffalo