Mr. Gibson has 10 animals on his farm in Long Island. Some are goats and some are chickens. Altogether there are 26 legs. How many chickens and how many goats are there?
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Kulas says "I have 10 farm animals consisting of goats and ducks. There are 26 animal legs. How many of each kind are there?"
Kulas says "I have 10 farm animals consisting of goats and ducks. There are 26 animal legs. How many of each kind are there?"
Goats have 4 feet and ducks have 2 .
So we know
g+d=10 ←number of animals
and
4g+2d=26 ← number of feets
So we can form the first equation to d=10−g and plug it into the second
4g+2(10−g)=26∣2(10)=20,4g+2(−g)=4g−2g=2g
2g+20=26∣−20
2g=6∣÷2
g=3
There are 3 goats and 7 ducks.
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