During a cooking class, Chef Lucas is demonstrating the use of different measuring cups. He starts with a combination of ingredients where the amount of sugar is $$ \frac{5}{6} $$ of a cup and the amount of flour is equal to the fraction of sugar used plus an additional $$ \frac{1}{3} $$ of a cup. Chef Lucas wants to determine the total volume of dry ingredients used in the recipe. What is the total volume of dry ingredients in cups?