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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
by
2.9k points

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
by
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
by
2.8k points
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