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A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies. How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?​

1 Answer

6 votes

Answer:

3 3/4 teaspoons of cinnamon

Explanation:

Proportions

Proportional relationships between two variables imply their ratios are constant.

It means that one variable is always a constant value times the other.

We are told that 1 1/2 (1.5) teaspoons of cinnamon are good to make 2 dozen oatmeal cookies. Two dozen is equivalent to 24, thus the ratio between oatmeal cookies and teaspoons of cinnamon is 24 / 1.5 = 16.

It means for each teaspoon of cinnamon you can make 16 oatmeal cookies.

If we wanted to make 60 oatmeal cookies, we need 60/16 = 3.75 teaspoons of cinnamon.

The number 3.75 is equivalent to

3+0.75 = 3 + 3/4, or 3 3/4 teaspoons of cinnamon

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