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user100 [1]
3 years ago
15

Diego compro un libro y tres cuadernos,pago por ellos 180 solo recuerda que el libre le costó el doble de lo que le costaron los

tres cuadernos juntos
Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer: Cada cuaderno cuesta 20, y el libro 120.

Step-by-step explanation:

Vamos a definir:

L = precio de un libro

C = precio de un cuaderno.

Sabemos que Diego compro un libro y tres cuadernos por 180, entonces tenemos:

1*L + 3*C = 180

También sabemos que el libro costo el doble de lo que costaron los 3 cuadernos juntos, entonces:

L = 2*(3*C) = 6*C

Tenemos un sistema de ecuaciones:

1*L + 3*C = 180

L = 6*C

Para resolverlo, podemos reemplazar la segunda ecuación en la primera, para así obtener:

1*(6*C)  + 3*C = 180

6*C + 3*C = 180

9*C = 180

C = 180/9 = 20

Cada cuaderno costo 20.

Y el precio del libro se puede obtener con la ecuación:

L = 6*C = 6*20 = 120

El libro costo 120

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