Answer:
The total [tex]\frac{3}{8}[/tex] lb flour is used to make brownies.
Step-by-step explanation:
Let x lb flour is used to make brownies.
She used 1/4 pound more flour to make cookies than to make brownies. So, the total flour is used to make cookies is
[tex]x+\frac{1}{4}[/tex]
she used 1/8 lb less flour to make the bread then to make the cookies. So, the total flour is used to make bread is
[tex]x+\frac{1}{4}-\frac{1}{8}[/tex]
It is given that she used a half pound of flour to make bread.
[tex]x+\frac{1}{4}-\frac{1}{8}=\frac{1}{2}[/tex]
[tex]x+\frac{2-1}{8}=\frac{1}{2}[/tex]
[tex]\frac{8x+1}{8}=\frac{1}{2}[/tex]
[tex]8x+1=4[/tex]
[tex]8x=3[/tex]
[tex]x=\frac{3}{8}[/tex]
Therefore total [tex]\frac{3}{8}[/tex] lb flour is used to make brownies.