Question

You want to make 10 dozen cookies as specified by a recipe that requires 16 oz of butter, 4 eggs. 3 cups of flour, and 4 cups of sugar. You look in your supplies and find you have 16 oz of butter, 6 eggs, 2 cups of flour, and 5 cups of sugar. a) Which ingredient will limit the number of cookies you can make? b) How many standard size cookies can you make?

Answer 1

The ingredient that will limit the number of cookies you can make is the sugar. You can make a total of 10 dozen or 120 standard size cookies with the available ingredients.

Step-by-step explanation:

The ingredient that will limit the number of cookies you can make is the ingredient that you have the least amount of compared to the recipe requirements. In this case, you have 16 oz of butter, 6 eggs, 2 cups of flour, and 5 cups of sugar. Comparing these amounts to the recipe requirements, you have enough butter and eggs, but only have half of the required flour and only 4 cups of the required sugar. Therefore, the ingredient that will limit the number of cookies you can make is the sugar.

To calculate how many standard size cookies you can make, we need to determine the number of cookies that can be made with the available ingredients. Using proportions, we can set up the following ratios: 16 oz of butter is to 10 dozen cookies as 16 oz of butter is to x cookies. Solving for x, we find that x = (16 oz of butter * 10 dozen cookies) / (16 oz of butter per x cookies). Simplifying, x = 10 dozen cookies.

Therefore, you can make a total of 10 dozen or 120 standard size cookies with the available ingredients.