Dylan went to the grocery store and purchased cans of soup and frozen dinners. Eachcan of soup has 250 mg of sodium and each frozen dinner has 500 mg of sodium.Dylan purchased 3 times as many cans of soup as frozen dinners and they allcollectively contain 2500 mg of sodium. Determine the number of cans of souppurchased and the number of frozen dinners purchased.

Answer:Dylan purchased 2 frozen dinners and 6 cans of soup at the grocery store.Step-by-step explanation:Milligrams of sodium per can of soup = 250Milligrams of sodium per frozen dinner = 500Number of frozen dinners Dylan purchased = xNumber of cans of soup Dylan purchased = 3xFor finding the number of frozen dinners and cans of soup, we use this equation:250 (3x) + 500 (x) = 2,500 (Milligrams that collectively they contain) 750x + 500x = 2,5001,250x = 2,500 x = 2 (Dividing by 1,250 at both sides of the equation)3x = 6 (Number of cans of soup)Dylan purchased 2 frozen dinners and 6 cans of soup at the grocery store, 2 frozen dinners and 6 cans of soup will contain 2,500 milligrams of sodium (1,000 + 1,500).