Arecipe uses 1/4 cup of sugar for every 1/2 teaspoon of cinnamon . what is the unit rate in teaspoons per cup?

Step-by-step explanation:

The "teaspoons per cup" ratio, written symbolically, is

t

--- teaspoons/cup

c

Here 1/2 teaspoon of cinnamon is associated with 1/4 cup of sugar.  Therefore we have the ratio:

  1/2 teaspoon cinnamon           1            4     teaspoon of cinnamon

=   *

          1/4 cup sugar                     2           1         cup of sugar

This reduces to:

 2 teaspoons cinnamon

        1 cup sugar

and is the desired unit rate in teaspoons of cinnamon per cup of sugar.