Problema Solution
A farm house shelters 14 animals. Some are sheep and some are geese. Altogether there are 50 legs. How many of each animal are there?
Answer provided by our tutors
let
s = the number of sheep
g = the number of geese
a farm house shelters 14 animals
s + g = 14
each sheep has 4 legs and each geese has 2 legs thus
4s + 2g = 50
by solving the system of equations
s + g = 14
4s + 2g = 50
we find
s = 11 sheep
g = 3 geese
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there are 11 sheep and 3 geese in the farm house.