helper10 helper10

13-09-2014
Mathematics

Answered

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?

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Answer :

mariamikayla mariamikayla

13-09-2014

[tex]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=\frac{18}{2}=9} \\ \\ x+y=16 \\ \\ x+9=16 \\ \\ x=16-9 \\ \\ \boxed{x=7}[/tex]

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