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prohojiy [21]
3 years ago
14

Un mes Rodrigo alquiló 2 películas y 3 juegos de video con un costo total de $230.50. El próximo mes él alquiló 4 películas y 8

juegos de video con un costo total de $580.00. Hallar el costo de alquiler de cada película y de cada juego de video.
Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0

Answer:

El costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Step-by-step explanation:

A partir de la información proporcionada, puedes escribir las siguientes ecuaciones:

4x+8y=580 (1)

2x+3y=230.50 (2), donde:

"x" es el costo de alquiler de cada película y "y" es el costo de alquiler de cada juego de video.

Primero, puedes despejar x en (1):

4x=580-8y

x=145-2y (3)

Segundo, debes reemplazar (3) en (2):

2(145-2y)+3y=230.50

290-4y+3y=230.50

290-230.50=4y-3y

y=59.50

Tercero, debes reemplazar el valor de y en (3) para encontrar el valor de x:

x=145-2(59.50)

x145-119

x=26

De acuerdo a esto, la respuesta es que el costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

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