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? nathan and amanda should order (square) pieces of chicken. (simplify your answer. type an integer, proper fraction, or mixed number) party food item fried chicken deli meals lasagna amount 32 pieces (5\frac{2}{3}) pounds (10\frac{3}{4}) pounds

Explanation:

Step1: Calculate total guest count

First, convert drop-in guests to full guests: $15 \times \frac{1}{2} = 7.5$. Add to the 40 planned guests:
$40 + 7.5 = 47.5$

Step2: Find per-guest chicken amount

Divide recommended chicken by 19 guests:
$\frac{32}{19}$ pieces per guest

Step3: Calculate total chicken needed

Multiply per-guest amount by total guests:
$\frac{32}{19} \times 47.5 = \frac{32}{19} \times \frac{95}{2}$
Simplify: $\frac{32 \times 95}{19 \times 2} = \frac{32 \times 5}{2} = 80$

Answer:

80