Question

A cookie recipe calls for 2/3 of a cup of flour and makes 2 dozen cookies. If you plan to make 8 dozen cookies, how many cups of flour do you need

Answer 1

8/12 cups of flour. or 2/3 cups of flour

Answer 2

2 and 2/3 of a cup of flour is needed to make 8 dozen cookies.

Explanation:

It is given that a cookie recipe calls for 2/3 of a cup of flour and makes 2 dozen cookies.

The ratio of flour and cookies in dozen is

`(Flour)/(Cookies)=((2)/(3))/(2)=(1)/(3)` ..... (1)

Let x cup of flour needed to make 8 dozen cookies. The ratio of flour and cookies in dozen is

`(Flour)/(Cookies)=(x)/(8)` ... (2)

Equate ratio (1) and (2),

`(1)/(3)=(x)/(8)`

Multiply 8 on both sides.

`(8)/(3)=x`

`2(2)/(3)=x`

Therefore 2 and 2/3 of a cup of flour is needed to make 8 dozen cookies.