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In mathematics, the problem of chicken and rabbit in the same cage should be solved by equations Several chickens and rabbits are kept in the same cage. There are 6 heads and 18 legs of known chickens and rabbits. How many chickens and rabbits are there?
There were x chickens and 6-x rabbits
2x+4(6-x)=18
2x+24-4x=18
2x=6
x=3
Answer: 3 chickens and 3 rabbits
There are 20 heads and 54 legs in the same cage. How many chickens and rabbits are there?
Suppose all chickens are chickens, then rabbits have: (54-20 × 2) / (4-2) = 14 / 2 = 7 (chickens), then chickens have: 20-7 = 13 (chickens) answer: there are 13 chickens and 7 rabbits
There are 20 heads and 44 legs in the same cage. How many are there in each cage
There were x chickens and 20-x rabbits
2X+4(20-X)=44
2X+80-4X=44
2X=36
X=18
There were 18 chickens and 2 rabbits
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