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erasmoruiz446 erasmoruiz446
  • 30-01-2015
  • Mathematics
Answered

a farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?

Verified Answer :

AmethystUxie AmethystUxie
  • 30-01-2015

There could be lots of answers. I'm going with 5 goats and 7 ducks.

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kat7145 kat7145
  • 30-01-2015

x=goats
y=ducks
4x+2y=34
x+y=11
-y -y
x=11-y
4(11-y)+2y=34
44-4y+2y=34
44-2y=34
-44 -44
-2y=10
/2 /2
y=5

x+y=11
x+5=11
-5 -5
x=6
goats=6
ducks=5

Answer Link

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