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

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.

Answer 2

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)