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Alex
2 years ago
14

Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 2

4,00. La semana pasada pidieron un batido de fresa y cuatro batidos de proteínas por un total de $ 25,50. El sistema que representa sus compras se encuentra a continuación. x + 4 y = 25,50 3 x + 2 y = 24,00 ¿Cuál es el precio de un batido de proteínas? $ 3,75 $ 4.50 $ 4.95 $ 5.25
Mathematics
1 answer:
jeka942 years ago
7 0

Answer:

Un batido de proteínas cuesta $ 5,25.

Step-by-step explanation:

El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:

Este es el sistema a resolver:

x + 4\cdot y = 25,50 (1)

3\cdot x + 2\cdot y = 24,00 (2)

Donde x es el coste de un batido de fresa y y corresponde al coste de un batido de proteínas:

1) Despejamos x en (1):

x = 25,50 - 4\cdot y

2) Eliminamos x en (2):

3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00

76,50 - 12\cdot y +2\cdot y = 24,00

3) Simplificamos y despejamos y:

10\cdot y = 52,50

y = 5,25

Un batido de proteínas cuesta $ 5,25.

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