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Verizon [17]
3 years ago
9

Un granjero tiene en su finca un total de 330 animales entre gallinas y cerdos y un conteo de las patas de estos animales arrojo

un total de 878 patas. ¿Cuantas gallinas y cuantos cerdos posee el granjero?
Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

La respuesta a tu pregunta es:  El granjero tiene 221 gallinas y 109 cerdos

Step-by-step explanation:

Datos

Animales totales = 330 entre gallinas y cerdos

numero total de patas = 878 patas

# de gallinas = ?

# de cerdos = ?

Gallinas = g

Cerdos = c

Sabemos que las gallinas tienen 2 patas y los cerdos tienen 4 patas

Ecuaciones

                              g + c = 330     (I)

                           2g + 4 c = 878   (II)

Resolver las ecuaciones por eliminación

Multiplicar I por -4

                           -4g - 4c = -1320

                            2g + 4c =   878

                           -2g        = -442

                              g = -442/ -2

                              g = 221

Sustituir g en I

                        221 + c = 330

                        c = 330 - 221

                       c = 109

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