Problem 1: NumerationSonya is planning a surprise party for her friend Kaleb. She has budgeted $55.00 to buy plates, napkins, cake, and soft drinks. A package of 8 plates costs $1.50. A package of 16 napkins costs $2.00. A cake that serves 24 people costs $9.00. Soft drinks sell for $2.50 for a pack of 6 cans. Sonya plans for each person to get a canned soft drink, a napkin, and one piece of cake on a plate. What is the largest number of people Sonya can have at her party, not counting herself?