Final answer:
For their graduation party with additional "drop-in" guests accounted as half, Sydney and Amanda should order 50 pieces of fried chicken, 5 5/8 pounds of deli meats, and 18 5/16 servings of lasagna.
Step-by-step explanation:
The question involves Sydney and Amanda hosting a graduation party with an expected 40 guests plus an additional 45 "drop-in" guests. The "drop-in" guests are counted as half a regular guest for food ordering purposes. The recommended amounts of food to order are: 32 pieces of fried chicken, 3 2/3 pounds of deli meats, and 11 3/4 servings of lasagna. To calculate the correct amount of each food item needed for the party, we will have to adjust for the additional "drop-in" guests.
Firstly, let's find the effective number of guests according to the given half-guest count for "drop-in" guests:
- 45 "drop-in" guests counted as half = 45 / 2 = 22.5 regular guest equivalents
Now, add the regular and effective "drop-in" guest counts:
- 40 regular guests + 22.5 "drop-in" guest equivalents = 62.5 total guest equivalents
Next, we calculate the amount of food needed based on the total guest equivalents:
- Fried chicken needed: (32 pieces for 40 guests) / 40 guests * 62.5 guests = 50 pieces
- Deli meats needed: (3 2/3 pounds for 40 guests) / 40 guests * 62.5 guests = 5 5/8 pounds
- Lasagna needed: (11 3/4 servings for 40 guests) / 40 guests * 62.5 guests = 18 5/16 servings
Therefore, Sydney and Amanda should order 50 pieces of fried chicken, 5 5/8 pounds of deli meats, and 18 5/16 servings of lasagna for their graduation party.