Question

Challenge  The table lists recommended amounts of food to order for 25 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 45 ​drop-in guests?
Party Food
Item
Amount
Fried Chicken
32 pieces
Deli Meats
4 and one third
pounds
Lasagna
11 and three fourths
pounds

Question content area bottom
Part 1
Nathan and Amanda should order
  
80 pieces of chicken.
​(Simplify your answer. Type an​ integer, proper​ fraction, or mixed​ number.)
Part 2
Nathan and Amanda should order
  
enter your response here pounds of deli meats.
​(Simplify your answer. Type an​ integer, proper​ fraction, or mixed​ number.)

Answer 1

Total guests counted = 40 + 0.5(45) = 62.5. Scale factor = 62.5/25 = 2.5.

Part 1: 32 × 2.5 = 80 pieces of chicken.

Part 2: 4 1/3 × 2.5 = (13/3)×(5/2) = 65/6 = 10 5/6 pounds of deli meats.