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

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

User Saurabhshcs
by
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2 Answers

5 votes
There could be lots of answers. I'm going with 5 goats and 7 ducks.
User Hanno Fietz
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8.3k points
4 votes
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
User Rohan Kumar Thakur
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7.5k points
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