On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos. Farmer Palmer counts in total, 11 heads and 30 legs. How many cats and how many chickens are in the chicken coop. Show a step by step method using simultaneous equations.

4 cats and 7 chicken

Step-by-step explanation:

x is for chicken and y is for cat

Each chicken has a head and 2 legs. Each cat has a head and 4 legs.

The first equation is for the heads and the second equation is for the legs.

I x + y = 11          |*(-2)

II 2x + 4y = 30

Ia -2x -2y = -22

Ia + II = IIa

IIa 2y = 8

      y = 4

y in I

x + 4 = 11

x = 7