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You're making dessert, but your recipe needs adjustment. Your oatmeal cookie recipe makes 4 dozen cookies, but you need 3 dozen cookies. If the recipe requires 113 cups of butter, 2 teaspoons of baking powder, and 123 cups of raisins, how much of each of these ingredients are necessary for 3 dozen cookies? Simplify your answer

1 Answer

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Final answer:

To adjust the oatmeal cookie recipe from 4 dozen to 3 dozen, reduce each ingredient proportionally using a 3/4 ratio. The modified amounts are 1 cup of butter, 1.5 teaspoons of baking powder, and 1.25 cups of raisins.

Step-by-step explanation:

When adjusting a recipe, the amount of each ingredient must be altered proportionally based on the number of servings or batches needed. If your oatmeal cookie recipe makes 4 dozen cookies with 1 ⅓ cups of butter, 2 teaspoons of baking powder, and 1 ⅔ cups of raisins, and you need to adjust it to make 3 dozen cookies, you'll need to calculate the ingredient quantities for the reduced number of cookies.

In order to calculate the new amounts, you need to determine the ratio of the new batch size to the original batch size, which is 3 dozen cookies to 4 dozen cookies. This results in a ratio of 3/4. Now, multiply each ingredient by this ratio:

  • Butter: (1 ⅓) * (3/4) = 1 cup
  • Baking powder: (2 teaspoons) * (3/4) = 1 ½ teaspoons
  • Raisins: (1 ⅔) * (3/4) = 1 ¼ cups

The adjusted recipe for 3 dozen cookies requires 1 cup of butter, 1 ½ teaspoons of baking powder, and 1 ¼ cups of raisins.

To adjust the oatmeal cookie recipe from 4 dozen to 3 dozen, reduce each ingredient proportionally using a 3/4 ratio. The modified amounts are 1 cup of butter, 1.5 teaspoons of baking powder, and 1.25 cups of raisins.

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