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45 votes
You're making dessert, but your recipe needs adjustment. your peanut butter cookie recipe makes 4 dozen cookies, but you need 1 dozen cookies. if the recipe requires 112 cups of butter, 3 teaspoons of almond extract, and 212 cups of peanuts, how much of each of these ingredients are necessary for 1 dozen cookies? simplify your answer.

User Yingying
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2 Answers

7 votes
7 votes

Final answer:

To make 1 dozen cookies instead of 4 dozen, you need 28 cups of butter, 0.75 teaspoons of almond extract, and 53 cups of peanuts.

Step-by-step explanation:

To make 1 dozen cookies instead of 4 dozen, you need to adjust the amount of each ingredient in the recipe proportionally.

First, calculate the ratio of the number of cookies. 4 dozen cookies is equal to 4 x 12 = 48 cookies, and 1 dozen cookies is equal to 1 x 12 = 12 cookies. So, the ratio is 12/48 = 1/4.

Next, apply the ratio to each ingredient:

  • Butter: 112 cups x 1/4 = 28 cups
  • Almond extract: 3 teaspoons x 1/4 = 0.75 teaspoons
  • Peanuts: 212 cups x 1/4 = 53 cups

Therefore, for 1 dozen cookies, you need 28 cups of butter, 0.75 teaspoons of almond extract, and 53 cups of peanuts.

User BluePsyduck
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2.8k points
11 votes
11 votes

Here, we are required to determine how much of each of these ingredients are necessary for 1 dozen cookies

The ingredients are;

28 and 1 quarter cups of butter is needed.

28 teaspoons of almond extract are needed.

half a cup of coarse sugar are needed.

Therefore, for 1 dozen cookies; a quarter of the requirements for 4 dozen cookies

User Tobrun
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2.8k points