Question

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?

Answer 1

Answer:

$3\frac{3}{4}$ teaspoons.

Step-by-step explanation:

We have been given that a recipe calls for $1\frac{1}{2}$ teaspoons of cinnamon to make 2 dozen oatmeal cookies.

First of all, we will find number of teaspoons needed to make one oatmeal cookies.

1 dozen = 12

2 dozens = 24

$1\frac{1}{2}\div 24$

Convert mixed fraction into improper fraction:

$\frac{3}{2}\div \frac{24}{1}$

Convert to division problem by flipping the second fraction as:

$\frac{3}{2}\times \frac{1}{24}$

$\frac{3}{48}$

$\frac{1}{16}$

Now, we will multiply amount needed for one cookie by 60 to find amount needed to make 60 cookies as:

$\frac{1}{16}\times 60$

$\frac{15*4}{4*4}$

$\frac{15}{4}$

$3\frac{3}{4}$

Therefore, $3\frac{3}{4}$ teaspoons are needed to make 60 oatmeal cookies.

Answer 2

From the question:

1 1/2 teaspoons of cinnamon =  2 dozen oatmeal cookies

1 dozen = 12

2 dozen oatmeal cookies = 2 x 12

= 24 oatmeal cookies

Hence:

1 1/2 teaspoons of cinnamon =  24 oatmeal cookies

The number of teaspoons of cinnamon needed to make 60 oatmeal cookies is calculated as:

24 oatmeal cookies = 1 1/2 teaspoons of cinnamon

60 oatmeal cookies =  c

Cross Multiply

24 oatmeal cookies x c = 60 oatmeal cookies x 1 1/2 teaspoons of cinnamon

c =  60 oatmeal cookies x 1 1/2 teaspoons of cinnamon/ 24 oatmeal cookies

x = 3 3/5 teaspoons of cinnamon

Therefore, the number of teaspoons of cinnamon  needed to make 60 oatmeal cookies is 3 3/5 teaspoons of cinnamon

To learn more, visit the link below:

https://brainly.com/question/11432854