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mdkhoyrulislam
mdkhoyrulislam mdkhoyrulislam
  • 02-12-2015
  • Mathematics
Answered

there are 13 animals in a barn. some are ducks and some are pigs. there are 40 legs in all. how many of each animal are there?

Verified Answer :

andrewmj2002 andrewmj2002
  • 02-12-2015

Let X be chickens
Let Y be pigs,
then x+y=13
the animals have 2x+4y legs,
 so 2x+4y=40
The system of the equations
[X+y=13
[2x+4y=40
Divide the second equation by 2
[x+y=13
[x+2y=20
subtract the first equation from the second one
y=20-13
y-7 pigs
substitute y=7 into the first equation
x+7=13
x=13-7
x=6 chickens

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