So it is about heads and legs.Originally Posted bylacourse

Chicken has one head; rabbit has one head.

Chicken has two legs; rabbit has 4 legs.

Let c = number of chickens in there; and r = number of rabbits.

Re heads:

c*1 +r*1 = 35

c +r = 35 -------------(1)

Re legs:

c*2 +r*4 = 94

2c +4r = 94

Reduce that to its "lowest term", divide both sides by 2,

c +2r = 47 ------------(2)

One way to continue is by substitution.

From (1), c = 35-r

Substitute that into (2),

35-r +2r = 47

2r -r = 47 -35

r = 12

So, c = 35 -12 = 23

Therefore, there are 23 chickens and 12 rabbits in there. ------answer.

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Check.

Re heads,

c +r = 35

23 +12 =? 35

35 =? 35

Yes, so, OK.

Re legs,

2c +4r = 94

2*23 +4*12 =? 94

46 +48 =? 94

94 =? 94

Yes, so, OK.