Final answer:
To prepare food for 45 drop-in guests, equivalent to 22.5 full guests, Sydney and Nathan should order approximately 29 pieces of Fried Chicken, 5.1 pounds of Deli Meats, and 9.25 pounds of Lasagna.
Step-by-step explanation:
To determine how much of each food item Sydney and Nathan should order for their graduation party with 45 drop-in guests, where each drop-in guest is counted as half a regular guest, we will first calculate the equivalent number of full guests. Since each guest counts as half a regular guest, the equivalent is 45 guests x 0.5 which equals 22.5 standard guest equivalents. The recommendations provided for 25 guests will suffice for 22.5 guests since it is a close estimate, but to be precise, we can calculate the exact amounts needed.
- Fried Chicken: Since 32 pieces are recommended for 25 guests, we calculate the number per guest as 32 pieces / 25 guests = 1.28 pieces per guest. For 22.5 guests, you'll need 1.28 pieces/guest x 22.5 guests = 28.8 pieces (which we round up to 29 pieces).
- Deli Meats: For 5 2/3 pounds recommended per 25 guests, it's (5 2/3 pounds) / 25 guests = 0.2267 pounds per guest. Thus, for 22.5 guests you need 0.2267 pounds/guest x 22.5 guests = 5.1 pounds.
- Lasagna: For 10 1/4 pounds for 25 guests, it's (10 1/4 pounds) / 25 guests = 0.41 pounds per guest. For 22.5 guests, you'd need 0.41 pounds/guest x 22.5 guests = 9.225 pounds (which we can round up to 9.25 pounds).