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Each sheep has 4 legs and each chicken has 2 legs. If I count 50 heads and 140 feet total, how many sheep are there?​

Each sheep has 4 legs and each chicken has 2 legs If I count 50 heads and 140 feet total how many sheep are there class=

Respuesta :

Answer:

[tex]20\:\mathrm{sheep}[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2c+4s=140,\\c+s=50\end{cases}[/tex], where [tex]c[/tex] is the number of chickens and [tex]s[/tex] is the number of sheep.

Multiply the second equation by [tex]-2[/tex] and add both equations to solve for [tex]s[/tex]:

[tex]\begin{cases}2c+4s=140,\\-2c-2s=-100 \end{cases},\\2s=40,\\s=\fbox{$20$}[/tex].