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Diano4ka-milaya [45]
3 years ago
10

18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fuer

on llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras 18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean x, y la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

x+y = 18 (1)

Masa de cada caja de peras

y\cdot m_{P} = 210 (2)

y = 6 (3)

Masa de caja de manzanas

m_{M} = m_{P}+7 (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

m_{P} = 35\,kg

Por (4), encontramos que la masa de cada caja de manzanas es:

m_{M} = 35\,kg+7\,kg

m_{M} = 42\,kg

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

x = 18-y

x = 12

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

M = (12)\cdot (42\,kg)

M = 504\,kg

504 kilos de manzanas fueron llevados a la escuela.

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