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Problem of the Week
Problem B
Sven’s Gym-Cans

Recently, Sven decided to start exercising at home instead of going to the gym. He does not have the nice weights that they have at the gym, but he does have different containers of food that he can use as weights. Sven has containers of soup, beans, breadcrumbs, jam, and peanuts. He also has one can whose label fell off that he calls the Mystery Can.

Sven used his balance scale and came up with the following discoveries:

Sven’s friend, Rob, who has perfect estimation skills, determined that the Mystery Can has a mass of \(580\) grams and the can of beans has a mass of \(640\) grams. Assuming that Rob is correct, determine the mass of each container, in grams. To do so, you may find it helpful to set up algebraic equations to show the relationships among the cans’ masses.

Theme: Algebra