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If you have 9 cups flour, 5 cups butter, 4.5 cups sugar, 8 eggs and an excess of baking soda and powder, how many cookies can you make? besides baking soda and powder, how much of each ingredient will be left over?

User Pfleidi
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1 Answer

4 votes

Final answer:

You can make 8 cookies using the given ingredients. There will be 1 cup of flour, 0.4 cups of butter, and 0.1 cups of sugar left over.

Step-by-step explanation:

To determine how many cookies you can make and how much of each ingredient will be left over, we need to compare the amounts of each ingredient required per cookie to the available amounts.

Let's start with the pound cake recipe as a reference:

1 pound of eggs, 1 pound of butter, 1 pound of flour, and 1 pound of sugar

From the given information, we have:

  • 9 cups of flour
  • 5 cups of butter
  • 4.5 cups of sugar
  • 8 eggs

To find the number of cookies we can make, we need to determine the limiting ingredient. Let's consider the amount of each ingredient required for one cookie:

  • Flour: 1 cup per cookie
  • Butter: 0.56 cups per cookie
  • Sugar: 0.5 cups per cookie
  • Eggs: 0.89 eggs per cookie

Comparing the available amounts to the required amounts, the limiting ingredient is the eggs, as we don't have enough eggs to make as many cookies as the other ingredients allow.

Considering the available amount of eggs (8 eggs), we can calculate the maximum number of cookies we can make by dividing the available amount by the amount required per cookie: 8 eggs / 0.89 eggs per cookie = 8.99 cookies (rounded to 8 cookies).

Thus, you can make 8 cookies using the given ingredients.

For the remaining ingredients:

  • Flour: 9 cups - (8 cookies * 1 cup per cookie) = 1 cup left over
  • Butter: 5 cups - (8 cookies * 0.56 cups per cookie) = 0.4 cups left over
  • Sugar: 4.5 cups - (8 cookies * 0.5 cups per cookie) = 0.1 cups left over
User Windel
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