Question

challenge the table lists recommended amounts of food to order for 19 party 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 40 guests? nathan and amanda should order 80 pieces of chicken. (simplify your answer. type an integer, proper fraction, or mixed number.) nathan and amanda should order (square) pounds of deli meats. (simplify your answer. type an integer, proper fraction, or mixed number.)

Explanation:

Step1: Calculate total guest count

First, find the equivalent number of guests by counting drop-ins as half guests.
Total guests = $40 + 15 \times \frac{1}{2} = 40 + 7.5 = 47.5$

Step2: Find chicken per guest

Calculate the chicken amount per original guest.
Chicken per guest = $\frac{32}{19}$ pieces

Step3: Calculate total chicken needed

Multiply chicken per guest by total guests.
Total chicken = $\frac{32}{19} \times 47.5 = \frac{32}{19} \times \frac{95}{2} = 80$ pieces

Step4: Find deli meat per guest

Calculate deli meat amount per original guest.
Deli meat per guest = $\frac{5\frac{2}{3}}{19} = \frac{\frac{17}{3}}{19} = \frac{17}{57}$ pounds

Step5: Calculate total deli meat needed

Multiply deli meat per guest by total guests.
Total deli meat = $\frac{17}{57} \times 47.5 = \frac{17}{57} \times \frac{95}{2} = \frac{85}{6} = 14\frac{1}{6}$ pounds

Step6: Find lasagna per guest

Calculate lasagna amount per original guest.
Lasagna per guest = $\frac{10\frac{3}{4}}{19} = \frac{\frac{43}{4}}{19} = \frac{43}{76}$ pounds

Step7: Calculate total lasagna needed

Multiply lasagna per guest by total guests.
Total lasagna = $\frac{43}{76} \times 47.5 = \frac{43}{76} \times \frac{95}{2} = \frac{215}{8} = 26\frac{7}{8}$ pounds

Answer:

Fried Chicken: 80 pieces
Deli Meats: $14\frac{1}{6}$ pounds
Lasagna: $26\frac{7}{8}$ pounds