byronreynolds2017
byronreynolds2017 byronreynolds2017
  • 23-10-2021
  • Mathematics
contestada

the number of ducks and pigs in a field = 38. the total number of legs among them is 92. each duck has 2 legs and each pig has 4 legs, how many ducks and how many pigs?​

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hurugd55
hurugd55 hurugd55
  • 23-10-2021
given there are a total of 35 ducks and pigs in a field
Answer Link
sqdancefan
sqdancefan sqdancefan
  • 23-10-2021

9514 1404 393

Answer:

  • 30 ducks
  • 8 pigs

Step-by-step explanation:

Let p represent the number of pigs. Then the number of ducks is 38-p and the number of legs is ...

  4p +2(38 -p) = 92

  2p = 16 . . . . . . . . . . . . collect terms, subtract 76

  p = 8 . . . . . . 8 pigs in the field

  38-p = 30 . . . number of ducks in the field

There are 30 ducks and 8 pigs in the field.

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