Question

In a certain recipe that produces enough for 8 servings, 1/2 cup of sugar is required. If you were asked to expand this recipe so that it could serve 26 people, how much sugar would be required?

Answer 1

We have to apply the rule of three

8 servings--------------------1/2 cup of sugar
26 servings---------------------  x

x=(26 servings*(1/2) cup of sugar) / 26 servings=1.625 cup of sugar.

Answer 2

For making a serving for 8 people, the amount of sugar required = 1/2 cup
Then
The amount of sugar required for
making a serving for 26 people = [ (1/2)/8] * 26
                                                   =(1/16) * 26 cups
                                                   = 13/8 cups
                                                   = 1 5/8 cups
                                                   = 1.625 cups.
So for making a receipe for 26 people the amount of sugar required is 1 5/8 cups or 1.625 cups. I hope the procedure is clear enough for you to understand. In future you can always use this method for solving similar problems without requiring any help from outside.