Find the working factor for each of the following situations. (Simplify fractions.) Our original recipe yields 40 portions; convert it to yield 185.

Question

Quizplus · Accepted Answer

The Answer is To find the working factor (also known as the conversion factor) for scaling a recipe, you divide the desired number of portions by the original number of portions. In this case, you want to convert a recipe from 40 portions to 185 portions.

Here's the calculation:

Working Factor = Desired Portions / Original Portions
Working Factor = 185 / 40

Now, simplify the fraction:

185 ÷ 5 = 37
40 ÷ 5 = 8

So, the simplified working factor is:

Working Factor = 37 / 8

This means that to convert the recipe to yield 185 portions, you would multiply each ingredient by 37/8, or 4.625.

Find the Working Factor for Each of the Following Situations