SOLUTION: Inside a barn are lambs and people. If we count 30 heads and 104 legs in the barn, how many lambs and how many people do we have in the barn?

Question 264037: Inside a barn are lambs and people. If we count 30 heads and 104 legs in the barn, how many lambs and how many people do we have in the barn?
Found 2 solutions by josmiceli, Greenfinch:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of people
Let = number of lambs (b is for baa)
They all have 1 head each, so
(1)
People have 2 legs, and lambs have 4, so
(2)
Multiply both sides of (1) by and
subtract from (2)
(2)
(1)

and, since

There are 8 people and 22 lambs
check answer:
(2)

OK
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
Let the number of people be P, then the number of lambs is 30 - P
the number of legs is 2P + 4(30 - P)= 104
2P + 120 - 4P = 104
-2P = - 16
P = 8, lambs are therefore 22
Check 2P = 16, 4 x Lambs = 88. 88 + 16 = 104
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