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Anon25 [30]
3 years ago
14

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?

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0
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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