A recipe for 1 cup of hollandaise sauce calls for (1)/(2) cup of butter, (1)/(4) cup of hot wate

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A recipe for 1 cup of hollandaise sauce calls for (1)/(2)...

A recipe for 1 cup of hollandaise sauce calls for $\frac{1}{2}$ cup of butter, $\frac{1}{4}$ cup of hot water, 4 egg yolks, and the juice of a medium-sized lemon. How many cups of this sauce can be made from a pound (2 cups) of butter, a dozen eggs, 4 medium lemons, and an unlimited supply of hot water?

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Key Concepts

Ratios and Proportions

This concept involves understanding how quantities are related to one another in a recipe or formula. It requires recognizing that if the recipe’s ingredient amounts are multiplied or divided by a certain factor, the resulting mixture will maintain the same proportions and yield a consistent product.

Limiting Ingredient

In recipe scaling, the limiting ingredient is the one that will run out first and thus restrict how much of the final product can be made. Determining the limiting ingredient ensures that the available resources are not overestimated and that the maximum possible output is correctly calculated.

Scaling Recipes

Scaling recipes is the process of adjusting ingredient amounts proportionately when increasing or decreasing the serving size. It requires multiplying each ingredient by the same factor so that the balance of flavors and textures in the recipe is preserved.

Unit Conversion

Unit conversion involves changing measurements from one unit to another to ensure consistency and accuracy in calculations. This is essential when the quantities provided in a problem use different units, such as converting pounds to cups, so that all measurements can be directly compared and accurately scaled.

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