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TiliK225 [7]
2 years ago
11

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

Mathematics
1 answer:
andre [41]2 years ago
3 0

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.

<em>------</em>

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

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