Question

Chickens and Rabbits

There is a total of 16 chickens and rabbits in a farm. The total number of legs (chicken and rabbits) is equal to 50. How many chickens and how many rabbits are there?


Please help.
I need a complete solution.

Answer 1

`x-the \ number \ of \ chickens \\ y-the \ number \ of \ rabbits \\ \\ \left \{ {{x+y=16}|(-2) \atop {2x+4y=50}} \right. \\ \\ \\ \left \{ {{-2x-2y=-32} \atop {2x+4y=50} \right. \\..................... \\ / \ \ \ \ \ \ \ 2y=18 => \boxed{y=(18)/(2)=9} \\ \\ x+y=16 \\ \\ x+9=16 \\ \\ x=16-9 \\ \\ \boxed{x=7}`