Question

The table lists recommended amounts of food to order for 25 party guests. sydney and amanda are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering​ purposes, they will count each of these​ "drop-in" guests as half a guest. How much of each food item should sydney and amanda order for a graduation party with 45 drop-in guests? Party Food Item Amount Fried Chicken 24 pieces Deli Meats 4 1/3 pounds Lasagna 10 1/4 pounds sydney and amanda should order pieces of chicken.

Answer 1

Answer: They should order 65 pieces of chicken, 9 1/6 pounds of deli meats, and 26 7/8 pounds of lasagna.

Answer 2

Sydney and Amanda should order 60 pieces of fried chicken for their graduation party, which will include 40 standard guests and 45 drop-in guests counted as half guests each.

To calculate the amount of each food item Sydney and Amanda should order for their graduation party with 45 drop-in guests, we need to consider that each drop-in guest counts as half a regular guest. Since they already expect 40 guests, we can calculate the total guest count as follows:

45 drop-in guests count as 22.5 regular guests (because 45 drop-in guests × 0.5).

The total number of guests including drop-ins would be 40 regular guests + 22.5 from drop-ins = 62.5 guests.

To scale up the recommendation for 25 standard guests to the needed amount for 62.5 guests, we must perform a proportion:

Determine how many times more guests there are: 62.5 / 25 = 2.5 times.

Now, for each item:

Multiply the amount of fried chicken (24 pieces for 25 guests) by 2.5 to get the amount needed for 62.5 guests.

24 pieces × 2.5 = 60 pieces.

Sydney and Amanda should order 60 pieces of fried chicken for their graduation party.