Peter makes six cakes of 5 lb each three chocolate cakes and three vanilla cakes to serve at a party for 120 people. How many ounces of cake will each guest have? If the guest list increases to 150 guests, how many more cakes does Peter need to make?

4 oz 2 cakes

Step-by-step explanation:

Since 6 cakes serve 120 people, each cake serves 120/6 = 20 people. Each cake weighs (5 lb) (16 oz/lb) = 80 oz. Then each person gets ...

(80 oz) / (20 persons) = 4 oz/person

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150 servings will require 150/20 = 7.5 cakes. Peter already has 6 cakes, so needs to make 2 more.

5lb per cake * 6 cakes = 30lb

30lb / 120 people = 0.25lb per person

150 people - 120 people = 30 people

0.25lb per person * 30 people = 7.5lb

5lb___1 cake

7.5lb___X=1.5 cakes

(7.5lb * 1 cake) / 5lb = 1.5 cakes