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?
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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
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
