Answer:
2 and 2/3 of a cup of flour is needed to make 8 dozen cookies.
Step-by-step 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
[tex]\frac{Flour}{Cookies}=\frac{\frac{2}{3}}{2}=\frac{1}{3}[/tex] ..... (1)
Let x cup of flour needed to make 8 dozen cookies. The ratio of flour and cookies in dozen is
[tex]\frac{Flour}{Cookies}=\frac{x}{8}[/tex] ... (2)
Equate ratio (1) and (2),
[tex]\frac{1}{3}=\frac{x}{8}[/tex]
Multiply 8 on both sides.
[tex]\frac{8}{3}=x[/tex]
[tex]2\frac{2}{3}=x[/tex]
Therefore 2 and 2/3 of a cup of flour is needed to make 8 dozen cookies.
