Question

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

Answer 1

Answer: Option B

`x = 800\ gr`

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.

`8x + 600 = 7000`

Now we solve the equation for the variable x.

`8x = 7000 -600\\\\8x = 6400\\\\x = (6400)/(8)\\\\`

`x = 800\ gr`