there are 20 animals in a barn. some are chickens and some are horses. there are 64 legs in all how many of each are there

Question

what is the system of the equation. show work please!

Answer 1

20 animals = x chickens (2 legs)  + y horses (4 legs).

x+y=20 (total number of animals)

2x+4y=64 *total number of legs)

 

x+y=20

x+2y=32

If you solve this system of animal with 2 and 4 legs, you get 6 chickens and 14 horses

x=6

y=14

Try on your own!