Question

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

Answer 1

Answer:

Step-by-step explanation:

1/4 cup of sugar = 1/2 tea spoon. (1)

Multiplying both sides by 4, we have

1/4 * 4 cup of sugar = 1/2 * 4 tea spoon. (2)

1 cup of sugar = 2 tea spoon

( Required answer)

Answer 2

Answer:

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.