An empty container has a mass of 600 grams. When 8 cans of equal mass are put into the container, the filled container has a mass of 7 kilograms. What is the mass of each can in grams? A. 750 grams B. 800 grams C. 900 grams D. 950 grams

Respuesta :

Answer: Option B

[tex]x = 800\ gr[/tex]

Step-by-step explanation:

We know that the mass of the empty container is 600 gr

And when they put 8 cans of equal mass then the final weight of the container is 7 kilograms or 7000 grams

If we call x the weight of the cans then this situation can be represented by the following linear equation.

[tex]8x + 600 = 7000[/tex]

Now we solve the equation for the variable x.

[tex]8x = 7000 -600\\\\8x = 6400\\\\x = \frac{6400}{8}\\\\[/tex]

[tex]x = 800\ gr[/tex]

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