victoriafrey707
victoriafrey707 victoriafrey707
  • 23-01-2020
  • Mathematics
contestada

There are 16 animals in the barn. Some are chickens and some are horses. There are 48 legs in total. How many of each animal are there?

Respuesta :

profarouk profarouk
  • 25-01-2020

Good evening ,

Answer:

8 chickens

8 horses

Step-by-step explanation:

let c = the number of chickens

let h = the number of horses

You have to solve this system

h + c = 16

4h + 2c = 48

h + c = 16 ⇒ h = 16 - c

If we substitute h=16-c in the second equation we will get :

4(16-c)+ 2c = 48

Then 64 - 4c + 2c = 48

Then 2c = 64 - 48 = 16

Then c = 8

Since h = 16 - c then h = 16 - 8 = 8

:)

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