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

`3(3)/(4)` teaspoons.

Explanation:

We have been given that a recipe calls for
`1(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(1)/(2)/ 24`

Convert mixed fraction into improper fraction:

`(3)/(2)/ (24)/(1)`

Convert to division problem by flipping the second fraction as:

`(3)/(2)* (1)/(24)`

`(3)/(48)`

`(1)/(16)`

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

`(1)/(16)* 60`

`(15*4)/(4*4)`

`(15)/(4)`

`3(3)/(4)`

Therefore,
`3(3)/(4)` teaspoons are needed to make 60 oatmeal cookies.