Question

Challenge: The table lists recommended amounts of food to order for 19 party guests. Nathan 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 Nathan and Amanda order for a graduation party with 15 drop-in guests?

Table: fried chicken: 28 pieces, deli meats: 5 2/3 pounds, lasagna: 10 1/4 pounds.

Answer 1

For a graduation party with 40 full guests and 15 'drop-in' guests, Nathan and Amanda should order 70 pieces of fried chicken, approximately 14.17 pounds of deli meats and approximately 25.63 pounds of lasagna.

Step-by-step explanation:

The challenge is to determine the amount of food required for 40 guests and an additional 15 'drop-in' guests where each 'drop-in' guest is considered as half a guest.

First, we calculate the total number of full guests by adding the 'drop-in' guests (counted as half) to the initial 40 guests:

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3. 15 drop-in guests × 0.5 = 7.5 equivalent full guests
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6. 40 full guests + 7.5 equivalent full guests = 47.5 guests in total

Next, we determine how many times the original recommendation for 19 guests will be needed to suffice for 47.5 guests:

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3. 47.5 total guests ÷ 19 = 2.5 times the original recommendation

Now, we multiply the original recommendations by 2.5 to find out how much of each food item to order:

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Nathan and Amanda should order 70 pieces of fried chicken, approximately 14.17 pounds of deli meats, and approximately 25.63 pounds of lasagna for their graduation party with 15 drop-in guests.