Answer:
56 Chickens
36 Cows
Step-by-step explanation:
You can set this up as a system of equations:
(x=chickens, y=cows)
[tex]\left \{ {{92 = x+y} \atop {256=2x+4y}} \right. \\[/tex]
To solve this system, first we can solve for x in the top equation:
[tex]x=92-y[/tex]
Next, we can plug in x to the second equation and solve for y:
[tex]256=2(92-y)+4y\\256=184+2y\\2y=72\\y=36[/tex]
And now that we have y, we can plug it into the first equation and solve for x:
[tex]92=x+36\\x=56[/tex]
