Answer:
The quantity of flour need by Colby's recipe is [tex]1\frac{5}{12}[/tex] cups.
Step-by-step explanation:
Given: Colby adds [tex]1\frac{2}{3}[/tex] cups of flour to his mixing bowl and then realizes he put too much.He takes[tex]\frac{1}{4}[/tex] cup of flour back out of the bowl.
We have to find the quantity of flour need by Colby's recipe.
The quantity of flour need by Colby's recipe = Number of flour cups Colby added - number of flour cups Colby taken out.
that is,
Number of flour cups Colby added = [tex]1\frac{2}{3}=\frac{5}{3}[/tex]
Number of flour cups Colby taken out = [tex]\frac{1}{4}[/tex]
The quantity of flour need by Colby's recipe = [tex]\frac{5}{3}-\frac{1}{4}[/tex]
taking LCM, we get, LCM(3,4) =12
The quantity of flour need by Colby's recipe = [tex]\frac{20-3}{12}[/tex]
The quantity of flour need by Colby's recipe = [tex]\frac{17}{12}=1\frac{5}{12}[/tex]
Thus, The quantity of flour need by Colby's recipe is [tex]1\frac{5}{12}[/tex] cups.
