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Sonja [21]
3 years ago
12

Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camion

eta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
SAT
1 answer:
bagirrra123 [75]3 years ago
6 0

Encontrando y resolviendo un sistema de ecuaciones, veremos que hay 9 camionetas y 3 autos.

Sabemos que hay 12 vehículos en el camión.

Definamos:

  • a = número de autos
  • c = número de camionetas.

tal que a + c = 12

La masa total será:

a*2 ton + c*3 ton

Y sabemos que el camión lleva 33 toneladas, entonces tenemos:

a*2 ton + c*3 ton = 33 ton

Así encontramos el sistema de ecuaciones:

a + c = 12

a*2 ton + c*3 ton = 33 ton

Para resolverlo, primero aislamos una de las variables en una de las ecuaciones, aislemos a en la primera:

a = 12 - c

Ahora reemplazamos esto en la otra:

(12 - c)*2 ton + c*3 ton = 33 ton

24 ton + c*1 ton = 33 ton

c*1 ton = 9 ton.

c = 9

Es decir, hay 9 camionetas.

Entonces los 3 vehículos restantes son autos.

Hay 9 camionetas y 3 autos.

Sí quieres aprender más, puedes leer:

brainly.com/question/17174746

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