The table on the right shows the calories, sodium, and protein in one cup of various kinds of soup. How many cups of each kind of soup should be mixed together to produce $10$ servings of soup, each of which provides $202$ calories, $1,060$ milligrams of sodium, and $13\mathrm{.}0$ grams of protein? What is the serving size $($in cups$)?$

To produce $10$ servings of soup, each of which provides $202$ calories, $1,060$ milligrams of sodium, and $13\mathrm{.}0$ grams of protein, mix cups of Chicken Noodle, cups of Chicken & Rice, and cups of Chicken Rotini.