Hosting a lunch can be both stressful and algebraic. Imagine you have a $100 budget to purchase a package of cups for $3, a package of paper plates for $2, pizzas that each cost $6 and large bottles of soda that each cost $2. How could you represent this entire situation using an algebraic equation with variables to represent the number of pizzas and number of bottles of soda.

What would a reasonable solution be that would use all $100.