Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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?

Sagot :

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: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]
  • Equation 2: [tex]4p+2c=60[/tex] for the legs

Then, use substitution & solve:

  • [tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

  • [tex]23-p=c\\23-7=c\\c=16[/tex]

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

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

------

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

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.