Answer:
The amount of needed flour is [tex]3\frac{5}{12}[/tex] cups.
Step-by-step explanation:
It is given that recipe calls for a total of [tex]3\frac{2}{3}[/tex] cups flour and sugar. The recipe calls for 1/4 cup of sugar.
[tex]3\frac{2}{3}=\frac{9+2}{3}=\frac{11}{3}[/tex]
[tex]recipe=flour+sugar[/tex]
[tex]\frac{11}{3}=flour+\frac{1}{4}[/tex]
Subtract 1/4 from both the sides.
[tex]\frac{11}{3}-\frac{1}{4}=flour+\frac{1}{4}-\frac{1}{4}[/tex]
[tex]\frac{44-3}{12}=flour[/tex]
[tex]\frac{41}{12}=flour[/tex]
[tex]3\frac{5}{12}=flour[/tex]
Therefore, the amount of needed flour is [tex]3\frac{5}{12}[/tex] cups.
