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G: gallinas.
hay 40 animales: C+G=40 (i)
hay 146 patas:
los conejos tienen 4 patas: 4C
los pollos solo tienen 2 patas: 2P
EL numero de patas es: 4C+2G=146 (ii)
resolviendo (i) y (ii):
C+G=40 --------------->C=40-G
4C+2G=146
_________________
4(40-G)+2G=146
160-4G+2G=146
160-2G=146
160-146=2G
14=2G
G=7 GALLINAS
C=40-G
C=40-7
C=33 CONEJOS
7 GALLINAS Y 33 CONEJOS