Question

A recipe that makes 3 dozen peanut butter cookies calls for 1 and 1/4 cups of flour. How much flour would you need to make 7 dozen cookies?

Answer 1

2.92 or 2 and 23/25 cups are required for 7 dozen cookies

Explanation:

Determine the required number of flour for 3 dozen cookies. Use it to find flour required for 7 dozen cookies.

Dozen cookies Flour

3 1 + 1/4

7 x

Cross multiply to find the value of x

3x = 7(1+1/4)

3x = 7(5/4)

12x = 35

x = 2.92 cups or 2 and 23/25 cups

Therefore, 2.92 cups or 2 and 23/25 cups of flour are required for 7 dozen peanut butter cookies.

!!

Answer 2

`2(11)/(12)` cups of flour are nedeed

Explanation:

we know that

3 dozen peanut butter cookies calls for 1 and 1/4 cups of flour

Convert mixed number to an improper fraction

`1(1)/(4)\ cups=(1*4+1)/(4)=(5)/(4)\ cups`

using proportion

Find out how much flour would you need to make 7 dozen cookies

Let

x ----> the number of cups of flour

`(3)/((5/4))(dozen)/(cups)=(7)/(x)(dozen)/(cups) \\ \\x=7*(5/4)/3\\ \\x=(35)/(12)\ cups`

Convert to mixed number

`(35)/(12)\ cups=(24)/(12)+(11)/(12)=2(11)/(12)\ cups`