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Rabbits and chickens

If there are some chickens and some rabbits in a field and all together there are 52 heads and 148 legs how many chickens and how many rabbits are there?and i also need to kno how you work that out?

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Let C = # of Chickens and R = # of Rabbits
Let CL = # of Chicken Legs and RL = # of Rabbit Legs
C + R = 52 (each chicken and each rabbit have a head)
R = 52 - C
CL = 2C (each chicken has 2 legs)
RL = 4R (each rabbit has 4 legs)

CL + RL = 148
2C + 4 (52 - C) = 148
-2C + 208 = 148
C = 30

R = 52 - C = 52 - 30
= 22

There are 30 chickens and 22 rabbits.

Posted on Apr 27, 2010

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