Question

Extended C constructed response: solve the problems, showing all work Partial credit may be given. You are making homemade ice cream mixture. The recipes call for:
2 cups heavy cream
1 cup whole milk
2/3 cup sugar
1/8 teaspoon salt
6 egg yolks
a) You accidentally pour 1 cup sugar into the ice cream mixture. How much whole milk should you use to keep the recipe ratios the same?

b) How much heavy cream should you use for this mixture ( with 1 cup sugar)?

c) You decide to make homemade ice cream again, but this time you double the recipe in order to have enough ice cream to bring to a party. List the new ingredient amounts.

Answer 1

Answer:

  a) 1 1/2 cups whole milk

  b) 3 cups heavy cream

  c) 4 c cream; 2 c milk; 1 1/3 c sugar; 1/4 tsp salt; 12 egg yolks

Step-by-step explanation:

a) The ratio of the sugar used to the sugar called for is ...

  (1 c)/(2/3 c) = 3/2

To keep the same proportions, the other ingredients must be multiplied by 3/2 also.

The original recipe called for 1 cup of whole milk. In your modified recipe, the amount shoud be (3/2)×(1 cup) = 3/2 cup = 1 1/2 cup whole milk.

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b) The amount of heavy cream will be multiplied by 3/2 also.

  (3/2)×(2 c heavy cream) = 3 c heavy cream

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c) Doubling every quantity, you get ...

• 4 cups heavy cream
• 2 cups whole milk
• 1 1/3 cups sugar
• 1/4 teaspoon salt
• 12 egg yolks

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Perhaps the tricky ones are

  2×2/3 = 4/3 = (3/3) + 1/3 = 1 1/3 . . . sugar

  2×(1/8) = 2/8 = 1/4 . . . salt