Question

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

of 60 legs. How many pigs and how many chickens does the farmer have?

Answer 1

7 pigs, 16 chickens

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)