Question

A farmer has a total of 23 pigs and chickens. The 23 animals have a total

Answer 1

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

• Equation 1: $p+c=23$ would be $23-p=c$
• Equation 2: $4p+2c=60$ for the legs

Then, use substitution & solve:

• $4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7$

Now, plug $p=7$ back into $23-p=c$ to get c

• $23-p=c\\23-7=c\\c=16$

Answer: 7 pigs, 16 chickens or $p=7$ and $c=16$

• To check your work, plug those solutions back into the system.

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(I hope that helps & good luck! <3)