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Answered

There are 22 animals in the barn. Some are ducks and some are oxen. There are 72 legs in all.
How many of each animal are there?

Answer :

SQDANCEFANIN

Answer:

  • 14 oxen
  • 8 ducks

Step-by-step explanation:

Let x represent the number of oxen. Then the number of ducks is 22-x and the number of legs is ...

  4x +2(22 -x) = 72

  2x +44 = 72 . . . . . . . simplify

  x +22 = 36 . . . . . . divide by 2

  x = 14 . . . . . . . . . subtract 22; the number of oxen

  22-x = 8 . . . . . the number of ducks

There are 8 ducks and 14 oxen in the barn.

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