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If you are adjusting a recipe that serves 8 to serve 50 using the factor method, which factor is most appropriate?

6.25

To determine the factor for adjusting a recipe from serving 8 to serving 50, you can use the factor method, which involves a simple calculation. The factor is calculated by dividing the desired number of servings by the original number of servings. In this case, you would divide 50 by 8. When you perform this calculation: 50 (desired servings) ÷ 8 (original servings) = 6.25 The resulting factor, 6.25, is the number you multiply each ingredient by to scale the recipe from 8 servings to 50 servings. This careful adjustment ensures that the proportions of the ingredients maintain the integrity of the original recipe while accommodating the larger serving size. In contrast, the other options do not accurately represent the necessary scaling factor for the desired servings. For instance, a factor of 6 would result in only 48 servings, while a factor of 7 would yield 56 servings, neither of which achieves the goal of 50 servings. The value 0.16 would be an inappropriate factor since it implies reducing the recipe instead of increasing it. Thus, the factor of 6.25 is the most accurate and effective choice for scaling up the recipe correctly.

6

7

0.16

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