Answer:
(10,6)
There are 10 sheep and 6 chickens.
Step-by-step explanation:
Let y represent the number of chickens.
Let x represent the number of sheep.
1) Form a system of equations
"There are 16 animals in total"
⇒ [tex]x+y=16[/tex]
"The number of chickens is 4 less than the number of sheep"
⇒ [tex]y=x-4[/tex]
2) Substitute equation 2 into equation 1
[tex]x+(x-4)=16[/tex]
Solve for x
[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]
Therefore, there are 10 sheep.
3) Solve for y
[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]
Therefore, there are 6 chickens.
The ordered pair (10,6) represents the number of chickens and sheep.
I hope this helps!
